{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0c1sM6KLV2Sp"
      },
      "source": [
        "# Import library"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "X-7AY8h8ZTUK",
        "outputId": "ba729211-c055-4b00-9d4c-466071d74536"
      },
      "outputs": [],
      "source": [
        "# !pip install PennyLane\n",
        "# !pip install qiskit\n",
        "\n",
        "import pennylane as qml\n",
        "from pennylane import numpy as np\n",
        "from pennylane.optimize import AdamOptimizer, GradientDescentOptimizer\n",
        "import matplotlib.pyplot as plt\n",
        "import math\n",
        "from sklearn.metrics import accuracy_score\n",
        "\n",
        "import torch\n",
        "import torch.nn as nn\n",
        "import torch.nn.functional as F\n",
        "import torch.optim as optim\n",
        "import argparse\n",
        "\n",
        "from torch.optim.lr_scheduler import CosineAnnealingLR\n",
        "from torchvision import transforms\n",
        "from torchvision import datasets\n",
        "from torch.utils.data import DataLoader\n",
        "\n",
        "import math\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "\n",
        "from matplotlib.backends.backend_pdf import PdfPages\n",
        "from PIL import Image\n",
        "from mpl_toolkits.mplot3d import Axes3D"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GmVdjdM1WIeM"
      },
      "source": [
        "# Encoding comparison (Nonlinear)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 363
        },
        "id": "whExCJlZNT9e",
        "outputId": "6ed286e2-8603-45fb-8065-b0523091b55e"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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I1D7xVPe0EwBOnz4N4OUT4CZNmqhcT/b3w/N+6YdEIkFMTAz+/vtvzJ49G3///TdiYmKsojUGsI7jXpkbN24gIiICT58+hb29PTZs2IDu3bvrXI4+2fr5CTDSOcog4ZGByWYtS05OpufPn1NycrLVZC2THXDVq1cvlevFxcWJke4HH3ygtszi4mIKDw8X11+1apW4bPbs2eL7qlq6GLMltpC1TMhOU6dOHaXL8/LyxKxDAOj06dMay3z69KlYroODAyUkJNCzZ8+oSpUqBKie2VrWggULxH3evHnTKJ9h2rRpBLzMwCO0fmvzKjt4ddSoUQSAfHx8FPYhO8P3p59+qvZzdejQgQBQcHCw2vV+/PFH8bNZy0B0cyC0xACwqtYYIus47su6e/cuNW7cmICX2cF+/vlnnbY3FFs/PxEZ5xxlkYEMkfJ5ZHx8fCw+iCEiSklJET+TsqwTgtzcXHJ1dSUA1LhxY7VlTpo0SSxz0qRJcsvu3LlDjo6OBIAGDhyol8/AmCWz9nlkzPlhiWy3BXU3Ufr8DEJX3g4dOqitmyatW7cmADRgwACFZZcvXxbrsWnTJpVlPHv2jOzt7QkAvf/++2r399VXX4ll/vvvvxWqO5OXkJBAQUFBKrNDWSJrOO7LysrKopYtWyrdvynx+eklY5yjLDaQIXqZivnQoUP022+/0aFDhyw+5bLg66+/Fv/wv//+u9p1+/XrJ66rarKplStXiuuEh4cr7X86cuRIAkB2dnaUnp6ul8/BGDNP5vyw5NixY2I5GzduNMpnEFKSavqM6hQVFYljqebPn6+wfMeOHWJ91c3JIXu+Xr16tdp9TpgwgYCXc0IUFRWVu+7MNljDcS/r2bNn1LZtW3G7zz//XKvtjIHPTy8Z4xxlcWNkZNnb2yM0NBTDhg1DaGioTpk1zJlsv0plKfJk9e3bV/x5165dCsvj4+MxY8YMAICfnx82bdoEBwfFZHUffvghJBIJpFIpvvzyy3LVmzFmGbQ9x7i5uSEsLAzAy9SZ//77r9L1Vq1ahTVr1gAAwsPDxTShggYNGuDtt98GAGzfvh1XrlxRuc/27duL/eX/+ecfo3yGBg0aiMvV1U2dixcvoqioCIDyTD6yWZmcnZ2VlpGZmYnY2Fjx/5oyAgm/nzZt2vAYGaaRNRz3gry8PPTt2xenTp0CAHz66aeYM2eOxu2Mhc9PLxnjHGXRgYy1Eg4ANzc3+Pn5qV1XNpApO6Du0qVLGDx4MEpLS1G9enXs2rVLZVrDVq1aoU+fPgCAn3/+2eLTVzPGVDPnhyVOTk7iHGDCXBCG/gzh4eHizxMmTEBBQYHKsl68eKE0paum+lSqVEn8OSEhQWH53bt30bt3b/GGQiKRIDAwUGU9CgsLkZaWBgCIiIhQuR5jAms47oGXcwoNGDAAx44dAwBMnz4dCxcuVLuNsdn6+Qkw4jnKIO08rNxkB1xpM5CKiCgwMJAAkL29PT169IiIiB4/fkxNmjSRG3ynyZEjR8Qmw3nz5lXoczDGzFdwcDABIDc3NyotLVW77u3bt8XzQtlBuxcvXqSqVasSAKpevbrGVJx9+/Yl4GVq1MzMTJXrCf2qXVxc6Pnz5wb9DEQvuykHBQWJ6zRv3pxWrVpFKSkpdOrUKTp06BB9/fXXNHz4cKpcubLSMmbNmiX+HpS5efOm2Gfe1dWVIiMjaf/+/bRz50764IMPqGrVqlSnTh2xq4ymbiSyaU11GVPAbJc1HPdERAMHDhTr1rNnT0pLS1M76F1T/QzB1s9PRMY7R3EgY2YuXrwo/uHHjx+v1TZz584Vt1m/fj0VFRVRaGioTv0YBUKmlho1atCLFy/K+zEYY2bKEh6WPHr0iJydnQmA0gxE+voMsm7dukX+/v5i/dS9Zs6cqbB9z549CQCFhoaqrMPkyZNVlhkQEEAXLlwQBy4rG5ArS8hA1KpVK60+P7Nt1nDcC7Q5RmVfDRs21Orz6gufn14y1jmKAxnGGLMhlvKwZNiwYQQoz/ijj8+gTEFBAa1du5Z69epFderUIUdHR3J2dqb69etTjx49aO7cuXTs2DGl29asWZMA0IwZM1TWobS0lL766itq0aIFOTk5kYeHB/Xo0YO+/fZbKiwspMLCQnFCwZiYGJXl5Ofnk7u7u86/e2a7rOG4F5h7IGPr5yci456jJEREYIwxxszI8ePHERISAnt7e1y7dg0NGzY0dZXMRlxcHN555x3UrFkTN2/eROXKlU1dJcb0go9762DMcxQP9meMMWZ2goODMXDgQJSWlmLRokWmro7ZkEql+OyzzwC8HEjNQQyzJnzcWz5jn6O4RYYxxphZunz5Mvz9/WFnZ4dr167B09PT1FUyuY0bN2Lo0KHw9vbGpUuX4OrqauoqMaZXfNxbNmOfoxRz5THGGGNmoFmzZvjhhx9w7do13L59m29oAJSWliI6Oho9e/bkIIZZJT7uLZuxz1HcIsMYY4wxxhizODxGhjHGGGOMMWZxOJBhjDHGGGOMWRwOZBhjjDHGGGMWhwMZxhhjjDHGmMXhQIYxxhhjjDFmcTiQYYwxxhhjjFkcDmQYY4wxxhhjFocDGcYYY4wxxpjF4UCGMcYYY4wxZnE4kGGMMcYYY4xZHA5kGGOMMcYYYxaHAxnGGGOMMcaYxeFAhjHGGGOMMWZxOJBhjDHGGGOMWRwOZBhjjDHGGGMWhwMZxhizYd988w0kEonSV6VKldC8eXNMnDgRly9fVrr906dPUaVKFUgkEnh5eaGkpETjPktKShAREQGJRAI7Ozts2rRJ3x+LMcaYDeBAxsbdvXtXvGk5ffq0qavDGDOyM2fOqFyWl5eHy5cv45tvvkFQUBC2bt2qsE716tUxduxYAMCdO3ewZcsWjfucMWMGEhISAADR0dEYPHhw+SrPGGPMpkmIiExdCWY6a9euxYQJE+Dp6YmMjAxTV4cxZmQhISE4fvw4qlatiqNHj4rvFxUV4erVq1i2bBlSUlIAAG5ubrh27Rrq1q0rV8bt27fh6+uLkpISBAcH4++//1a5v6+//hqTJk0CAAwZMgQbNmwwwKdijDFmC7hFxsbt2rULANCvXz8T14QxZmxSqRTnzp0DAAQEBMDf3198tW3bFoMHD8bRo0fRvn17AC9baJQFHt7e3hg6dCgA4Pjx4yoDmaSkJEybNg0A0KFDB/z444+G+FiMMcZsBAcyNiwvLw9JSUkAgP79+5u4NowxY0tPT0deXh4AIDAwUOk6dnZ2mDBhgvj/CxcuKF3vo48+En9etmyZ0n0NGjQIJSUlaNCgAXbs2AFXV9cK1J4xxpit40DGhiUmJqKgoABubm7o2bOnqavDmFlasGAB7OzssGDBAlNXRe9kx8cEBASoXK9hw4biz6oG8wcEBOC1114DAGzduhV37twRlz179gz9+/fH06dP4ebmhp07d6JevXoVrD1jjDFbx4GMmRo7diwkEgn8/PyULr9z5w4cHR3FgfovXrxQWCcvLw/Vq1eHRCJBTEyMwvLdu3cDAMLDw+Hi4qK2PkePHsXYsWPRokULVKlSBVWqVEG7du3w3//+V3yia84uXbok/q5+//13EBF+/fVXREREoE6dOrCzs0NoaKjS7WbPno3WrVujWrVqcHZ2ho+PD8aOHasyixMAfP7552JGppycHJXrHTp0SKzX4cOHFZY/ePBAXP7dd9/h+fPn+L//+z907twZHh4ecHJyQsOGDTF58mQ8fPiwPL8apsaCBQsQFRWFsLAwREVFWV0wIxvIqGqRAYCsrCzx58aNG6tcT2iVKSkpwapVq8SfBw0ahPT0dEgkEqxfvx5t27atYM0ZY4wxAGSBbt26RSdPnlT5unXrlqmrWGEffPABAaB69eopXf7RRx8RAPGVkZGhsM66desIADk5OdH9+/fllkmlUqpXrx4BoHXr1qmsR3Z2No0YMUJuX2Vf/v7+dPfu3Yp9YAPbsGGDWN+DBw9St27dFD7H1KlTxfULCwtp6tSpZGdnp/Jzu7q60vbt25Xub8iQIQSAmjZtqrZeX375pVjekydPFJbv379fXP7dd99RnTp1VNanUaNGCn9nVn6xsbEEgBYsWEBERAsWLCAAFBsba+Ka6U+vXr0IAEkkEsrOzla53qBBg8Tv2dmzZ9WW2bFjRwJANWrUoNzcXJo0aZK4rfC7ZIwxxvTB4gKZW7dukZubm9obazc3N4sPZhYuXEgAqHLlygrLXrx4QdWrVycAZG9vTwAoLS1NYb3WrVsTAHrnnXcUlv3zzz/iDcy9e/eU1iEnJ4fat28v/l5ff/112rx5M504cYK2bdtGgwcPFpd17dq14h/agObOnSvWtVWrViSRSOjtt9+mnTt3UmpqKm3bto2OHTtGREQlJSXUt29fcf2+ffvS+vXrKTk5mRISEig6Oprc3d3VfteaNWtGAGjw4MFq6yUEiV5eXkqXf/7552I9hH0OGTJErPeGDRvI399fXOftt9+u+C+LKQQxAmsLZoTAuFGjRirX2bJlC0kkEgJAw4cP11jm5s2bxe9jz549xZ+HDRumz6ozxhhjlhfInDx5kgBQXFyc0taYuLg4AkAnT540dVUrZPXq1WKgIZVKlS5r164dtWzZkgDQkSNH5NY5duyYeAORmpqqUH5UVBQBoPbt26usQ58+fQgAOTg40G+//aZ0nQkTJoj7OXDgQDk+qXEInwUAubi40K5du1SuO2PGDDGITEhIULrOyZMnydnZmQDQnDlz5Jbl5uaKLTmLFi1SW69WrVoRAOrXr5/S5cOGDRPr7eDgQFu2bFFY59mzZ+Th4UEAyNHRkZ4/f652n0w9VUGMwFqCmfv374vfrf79+8stKygooLS0NJo+fbr4Xe7Zsyfl5uZqLLe0tJSaNGki93ApODiY8vPzDfVRGGOM2SgH5R3OzF+LFi2sup91tWrVAABEhNzcXFSuXFn8/4oVKwC8nFRu9erVAF7Ori1LeL9Lly5o166dQvnC+BhV2cp+++037N27FwCwePFiDBs2TOl6n3zyCb755hsAwP79+xEREaH1ZzQm2bEAq1evVpluOjU1FcuXLwcA7NixQ2UShLZt2yI0NBQHDhxAcnKy3LK0tDRIpVIAQJs2bVTWKT8/H5cuXQIABAUFaaz3l19+iTfffFNhnapVq2Ly5MmYP38+iouLcebMGXTr1k3lfi1dUVERbt++bZCyV61aheXLl2PBggWYN2+e0nWE9yMjI/H48WNMmTJF7/Xw9vaGk5OT3suVJfvd2rVrFyQSidL1goODMXbsWIwePRr29vYay7Wzs8MHH3wgZjrz9PTE9u3bNY7DY4wxxnSl90DGkDcZALSetDEjIwPu7u4GqYMxbjKqV68u/pyTkyMGMnv37sXly5dRr149DBkyBHFxcQBeZgUSPHz4UJxde/r06Qpl3717F6dOnQKgOpD54osvALwcAKysDIGXlxcqVaqE3Nxcg/7dK+LRo0e4d+8egJdzV7z33nsq1507dy6ICG+99ZbGTG7e3t4A5H/3gPwNorpA5ty5cygtLQWgPJApKChAeno6AKBVq1Zqb5j9/f3Fnx89eqS23ky1FStWIDw8XGUQI5g3bx6OHDmCFStWGCSQMQbZ76k6z549Q1hYmFZBjMDX11f8ecKECQoTaDLGGGP6YLEtMtZOaJEBXgYyQqpSYX6GSZMmwdHRUQzWZFtk1q1bh6KiInh5eWHAgAEKZQutMZ6enkpvtM+dO4ezZ88CACZOnKjySa3A3d0dubm5cHR01OqzaSpPGz/++CNGjRql1brCZwEgNx9GWffu3UNiYiIAYMuWLVrXU/ZvBfzvBrF+/fqoXbu2yu1Onz4t/qwskJENdCZMmAA7O9VJBmUDX2ufm8PJyQlNmjQxSNnz589HVFQUFi5cqDaYWbhwIRITExEbG2uwuhiabCDz119/id/jvLw8pKen46uvvsLp06dx+fJljB49WmlWPW3Kbt26tV7qyxhjjJWl90DGkDcZAPD8+XOt1vPy8rLYGwxAsUUGAM6fP4/ExES4uLiIN+RVq1YF8L9AprS0FGvXrgUATJ48GQ4Oin/iXbt2AQD69u2rdN+HDh0SfxbmhVCFiMR916pVS/MHMwHZQKZXr14q19uzZ0+5ypd9+gz87yZOXWsM8L9Axs3NTel3VbbemiYsffDggfgzP/0uv8jISLl/lQUzCxcuRGRkJGJjY8X1LJHwPa1Tpw66du0qt6xjx45488030a5dO1y8eBFHjhzBmTNntA5KZL+7HMgwxhgzFG6RMVOyT/mFOWKE1pjhw4fDw8MDABRaZHbt2oWMjAy4urpi3LhxCuXm5+fj4MGDAFTfHKelpQEAqlSpIjcRnjJXr15FQUEBAO1vWC5evKjVeuroMpmecMPWoEEDNGjQQOV658+fB/AyCBbGB2lDNoCTSqU4d+4cAM2/D6F7X0BAgNLWFqHeHh4eGv8Of//9NwDA2dlZ5dxDTDvqghlrCWLy8vJw5coVAKq/p66urvj0008xYsQIAMCvv/6q9TEufHdr1aql9phjjDHGKsJiAxlVN8P6uEk2B2VbZLKysvDrr78CeDnIXyC0yAjjNIRB/u+88w5q1KihUG5iYiLy8/Ph5uaGsLAwpfsWxlgo276s+Ph48efu3btrXB8AmjdvrtV6+iI8HdbUQpKZmQngZYuG7JgTXVy9elWcIFTVAH4AyM7OFgMZVesJ9a5Tp47afRKR2F2wR48ecHNz07neTJ6yYMZaghhAPiGFuuBkwIABcHV1RX5+Pv744w8sXrxYY9mFhYUak1gwxhhj+mBxgYyHhwfc3NzEp4TKuLm5iS0WlsrZ2RkuLi4oKChATk4OvvnmGxQUFCAsLEzuJlu2Reby5ctISkoCAEybNk1puUK3svDwcJVZhIRBvYWFhWrrWFpaKmYs69ixo1l25SsqKhKDW01Pk/Pz8wEAjx8/Lvf+hBs4AGjWrJnK9X755Re1A/2JSGwZEwIjVfbt24ebN28CAN59911dq8xUkA1mjhw5Io6JsfQgBtB+DIvwwGP37t24fv06/v33X7Rs2VJt2RcuXEBJSYnGshljjLGKsrhAxtvbGxcvXlSbmcnDw0PMKGXJqlevjvv37+Px48dYs2YNAPnWGEB+jMyaNWtARAgPD0erVq0UypN9cq9uzIWPjw+Al+MuMjMzVbYILFu2TOyO9cEHH+j24Yzk4sWLKC4uBqC5RUboAnP9+nVcuXIFTZs21Xl/WVlZ4s/Ozs5K18nMzERsbKz4f2WBzI0bN8TxYBkZGXjx4oWYuU5WYWEhPvroIwAvW7pUpclm5SMELdHR0VYTxAC6Dcbv27eveN7YtWuXxkCGB/ozxhgzGtNNYcM0adGiBQGg1q1bEwBq2rSpwuSYW7ZsEWfmrlq1KgFQOdnjP//8I06yee/ePZX7TUhIECey+/jjj5WuExcXR/b29gSA+vTpU/4PaWA//fST+FmuX7+udt2tW7fKzUiubgK/nJwcWrNmjcL7v//+u1jGypUrFZbfuXNH/HsKfwtlE1j+8ccfchMKxsTEKKxTUFBAgwcPJgBkb29Phw8fVvv5GBMEBwcTAHJzc6PS0lK1696+fVv8Hnbt2lVj2dOmTRPXP3/+vL6qzBhjjCmwuBYZWyKMkxGecE6bNk0hJbDQIiN0LWrSpAn69OmjtDzhqWq7du3UDpYPDw9Hp06dkJKSgs8//xxPnjzBkCFDULVqVVy/fh1xcXHYuXMngJcTQ27cuLHcn9HQhHEmVatWFVuaVHn99dcRFBSEs2fP4uDBg2jTpg2mTJmCdu3awdnZGdnZ2bh06RKOHj2KHTt2oHXr1pg4caJcGZ06dYKdnR2kUik++ugjPHz4EF26dEFRURH+/PNPrFu3Di4uLmjbti1OnToFHx8fVKlSRaEuwt+8Ro0aqFatGubPn48HDx7gjTfeQLVq1XD69GmsWLFC7Db3+eefo0ePHnr4jTFrJ5uQQlWiCVleXl4IDAxEWloaUlJS8PjxY9SsWVPl+sJ318XFxejj4RhjjNkYU0dSTLU+ffqITzarVatGOTk5CuscP35c7sn98uXLVZbXtm1bAkDz58/XuO/bt2+Tn5+fXNllX0OHDqWnT59W5CMaXM+ePQkA9ejRQ6v1b926Rf7+/mo/t/CaOXOm0jImT56scpuAgAC6cOECtWzZkgDQgAEDlJbx+uuvEwB65ZVXKD4+npydnZWW5+joSF9++WV5fz3MBl28eFH8/owfP16rbebOnStus379erXrVqtWjQBQ+/bt9VFdxhhjTCVukTFjspnLxowZo3SMhNAiA7wc+D969GilZd29e1fMkqVpThLg5VPY1NRULFu2DFu2bMHVq1dhZ2eHBg0aoHPnzhg5cqRFtAAILTLa9tX39vZGamoqfv75Z/zxxx84c+YMnjx5Ajs7O9SsWRNNmzZF586d0a9fP3Tu3FlpGStWrICvry/WrVuHa9euwd3dHa1atcLw4cMxcuRIAEB6ejoA1VmdhKfaAQEBePXVV/HXX3/hs88+Q0pKCp49e4b69eujV69emDFjhtqkAoyV1bx5cxCRTtt89tln+Oyzz7RaV3ZyXsYYY8yQJKTrFY1ZpLVr12LChAlo0KAB7ty5Y+rqMDWePXsmBrHfffcdxowZY+IaMcYYY4yZH/Wdo5nVEMbH9OvXz8Q1YZrIzooeGBhowpowxhhjjJkv7lpmI7p164Z27dphwIABpq4K00AIZOzs7JSm0WaMMcYYYxzI2AxhrhFm/oTxMb6+vnBzczNtZRhjjDHGzBR3LWPMzAgtMtytjDHGGGNMNQ5kGDMjJSUluHDhAgAOZBhjjDHG1OGsZYwxxhhjjDGLwy0yjDHGGGOMMYvDgQxjjDHGGGPM4nAgwxhjjDHGGLM4HMgwxhhjjDHGLA4HMowxxhhjjDGLw4EMY4wxxhhjzOJwIMMYY4wxxhizOBzIMMYYY4wxxiwOBzKMMcYYY4wxi+Ng6gowyyKVSnHv3j1UqVIFEonE1NVhjDHGGGNlEBFycnJQv3592NlZb7sFBzJMJ/fu3YOXl5epq8EYY4wxxjTIyMiAp6enqathMBzIMJ1UqVIFwMsDw93d3cS1YYwxxhhjZT1//hxeXl7ifZu14kCG6UToTubu7s6BDGOMMcaYGbP2YQDW22mOMcYYY4wxZrU4kGGMMcYYY4xZHA5kDCw/Px8rVqyAl5cXbt68WaGyUlNT0a9fP9SqVQt169bF2LFjkZmZqXG7xMREvPLKK6hZsya8vLwwe/Zs5OTkVKgujDHGGGOMmRIHMgaSk5ODL774Aj4+Ppg+fTru3LlTofJ++OEHhISEoHXr1rh16xb+/fdfPHjwAG3atMGVK1dUbjd//nz06tULgwYNwv3795GSkoK//voLwcHByMrKqlCdGGOMMcYYMxUOZAwkPj4e3bp1w8CBAytc1l9//YX3338fr732GhYuXAg3NzfUqFEDv/32G/Lz89GvXz8UFhYqbPf7778jJiYGkyZNwqRJk+Dk5ARPT09s3LgR6enpGDx4cIXrxhhjjDHGmClwIGMgb775Jjp16oQxY8ZUqBwiwuTJk1FaWopp06bJLXN3d8eIESOQnp6O//73v3LL8vLyMGPGDABQ2M7HxwevvfYaDh8+jPXr11eofoZWvXp1SCQSVK9e3dRVYYwxxhgrl7CwMEgkEoSFhZm6KlaF0y8bWNWqVSu0/aFDh3Du3Dk4OjqiR48eCst79+6NVatWYc2aNfjkk0/g4PDyT7phwwY8fPgQ3t7eaNq0qdLtdu/ejeXLl+Pdd9+tUB0NpXr16nj27BnCw8ORmJiI6tWr4+nTp6auFjOBjIwMtV0ha9eurXbCr4puzxhjjGlr+/btOH/+PFJTU5GUlIQXL14AABo3boyDBw+iRo0aGDp0KNq1a1fhB962jgMZAxMCi/Lau3cvAKBp06ZwcnJSWN66dWsAQGZmJg4fPozw8HC57fz9/ZWWK2x36tQpXL16FU2aNKlQPfUpJiYGCxcuRGlpKRYsWIB58+Zh4cKFiIyMhEQiQXR0NGJiYkxdTWYkhYWF6Ny5s9pxZl5eXrhy5QqcnZ31vj1jjDGmje3bt2P37t1Yv349iouL4ejoiOLiYnH59evXAQBPnz7F119/DScnJ3h7e+PVV181VZUtHgcyZi4+Ph4A4O3trXR5/fr14eDggJKSEpw4cQLh4eGQSqVITExUu13Dhg3Fn0+cOGFWgUxsbCyISAxiAIj/RkZGYv78+RzI2BBhbJezszM2btwoN7kXEWHIkCGoVauW0kBfH9szxhhjmhw5cgSDBw9GcXEx7O3t0bBhQzx+/Bienp7YvHmzwrVn0KBBuH37Nh48eGDCWls+HiNj5oToXVW3F4lEgho1agAALl++DAB48uQJsrOz1W5Xs2ZN8WdhO3NQvXp1hSBGMG/ePCxYsAAA4OjoaIrqMROQSCSIiYnBtWvX8OjRI7Rt21Z8PXr0CNeuXUNMTIzK2Ysruj1jjDGmyvbt27Fw4UKsXLkSUqkUPj4+WLZsGW7duoU333wTN27cUHrtuXHjBkpLS7Fo0SJTfwSLxoGMGcvPz0dubi4AoEqVKirXE7rDCONHZMcCqNpOtguNunEnhYWFeP78udzLUIQxMcqCGIEQzJSUlMDOjr++tiIiIgIhISGIiYkBEQF4+UQrJiYGISEhiIiIMOj2jDHGWFlCK0xkZCS2bt2K0tJS3LhxA02aNEFISAguXryIqlWrIjIyUu7aExkZCVdXV8yfPx8XL17kBAAVwF3LzNiTJ0/En93c3FSuJ5VKAQAFBQVabydsI7udMosWLcL8+fO1q3AFCQP7VQUxgnnz5uHIkSOcAMDCVGTAvUQiQVRUFPr06YP4+Hj06tUL8fHx+Pvvv7Fw4UKxC6Y6/fr1w7x58xS2379/v8bWGE4WwBhjTBjELzhz5ozYCrN582YAwHvvvYe5c+dizJgxmDp1Kvr164fdu3dj9erV6Ny5M5KTk/HPP/8AeHltExIasXIiZlA3btwgAASAbty4odO2Dx8+FLf99NNPVa5Xu3ZtAkBDhgwhIqITJ06I261bt07pNnl5eeI6c+bMUVl2QUEBZWdni6+MjAwCQNnZ2Tp9Fm1Uq1aNANCCBQvUrrdgwQICQD4+PgSAqlWrpve6MP0qKCggT09P8Tun7OXl5UUFBQVy25WWltLx48dp165dtHv3bmrfvj2FhISQVCqlkJAQ8WdtlN0mJCSEWrRoQbt27aI///yTioqK9Fp3xhhj1uPw4cPk6Oio8jqwf/9+IiLauXOn2vUAkLOzM4WGhpJEIiEA1LNnT73XNzs722D3a+aEW2TMWLVq1WBvb4/S0lLk5+erXE/o7uXh4QFAfvyLqu2EMTSy2ynj7OxstExOT58+haurKyIjIwFAacuMkL2sZ8+eSEpKwquvvorExESEhYUhKSnJKPVkutNlwD0R4dSpU7h//z7s7OzQvn17dOzYEcDLLIC9e/fG7NmztW5NEQhjZcpu36tXL2RnZ+PgwYMoKSmBs7MzOnXqhEqVKulcd8YYY9YpIyNDrvVFuBYQEUaPHo3IyEhERESgb9++4sTlqgb5C5lmAaBFixZ8/1IBHMiYMUdHR/j6+iI9PR2ZmZlK18nNzRW7hvn4+AAAGjVqBFdXV+Tn56vc7vHjx+LPwnbmIDs7G87OzkqDmbJBzMKFC5GYmIiePXvi4MGD3M3MjMkGEY8ePUKvXr3EZQcOHMC1a9cwc+ZM7NmzBxKJBG3btkW7du0UyhHGuixdurRcY1tUbV+1alWxToWFhUhJSUFubi7s7OzQoUMHjXVfvXo1JwtgjDErUrYb2dmzZ8UxMGWvBUOGDJHruvzGG2/g559/VnrNuHHjhtx+Pv30U8N/GGtm0vYgG1CRrmVERO+99x4BoM6dOytdfv78ebH8s2fPiu/37NmTANDbb7+tdLvdu3cTALK3t6cnT55oXR9jNFV6eXmJn0noZiZ0JxOaX4X/x8bGyv2fu5mZL2XdwaRSKQUHB1Pz5s3p9u3bWpWTkJBAQUFBlJCQUK566LJ9SUkJpaSk0O7du6l58+YKdde1extjjDHzp64bmb29PXXo0EHuWtC+fXtydXUVrwcdO3YkR0dHhfU6dOhA9vb2cuUlJycb5DPYStcyDmQMrKKBzJ49ewgAVapUiUpKShSW//777wSAGjRoIPf+6tWrCQA1a9ZMabmLFi1SGyCpYowDIzo6Whz/AoDCw8PVBjGCsusx87N//365vsRl/2/O9u3bZ7F1Z4wxpr1ffvmF7O3tycfHh1JTU+nkyZPia+XKlUqvBQsXLiQANHPmTAJAo0aNUroe/v8Ymbi4OIMFMUQcyDA9qWggI5VKqVWrVgSADh48qLB8zJgxBIA+++wzufdzc3PJw8ODAND169cVtgsLCyMA9Ntvv+lUH2MdGIWFheTk5CT+7nx8fIhIdRAj22LDwYz5ys3NJT8/PwoODra4Fo2y9Q0ODqa2bdtaRN0ZY4wp2rZtGy1YsEDh9dZbbykM4hfs27dPrlWmQ4cO5O3tTaWlpRQSEkIAKCQkRPx/x44d5VpjnJ2dKTo62uCfjQMZphcXL14UD4ZLly6pXG/48OFUuXJlWr16tcKyw4cPk0QiEbOSCR4+fEhVqlQhPz8/ysvLU9hu/fr1SrOSXbhwgSQSCXXv3l3nmzBjHhhdunQhAGRnZyfXMqMqiCnbzYwDGvOSlpZG27ZtE1sZhadWltSiITxRE+q+dOlS2r59OxUWFpq6aowxxnSgKQsZAHJwcBADEaL/dQ8T7kuEa4FwD1K263LZawYAmjJlilE+HwcyrMJKSkro888/F7+8ixYtouLiYoX1srKyxHX8/f2VlrV48WKSSCS0YsUKKikpoStXrlBISAh5e3vT5cuXVdZhypQp5OjoSJs2bSKpVEqnTp0iPz8/CgwMpMzMTJ0/kzEPjOjoaOrSpQs5OzurDEw0tdBwMGN6xcXFtG3bNjp37hwR/a9lQ3hqZUktGsrqXlhYSDt37qSUlBRTV48xxpiW1HUfS01NJR8fHzFgKds97J133pG7FsTGxiq9F5FKpeIUGVWqVBEfgBkDBzKsQr744gtycHBQGt0ra3UZMWKEyhYZwc6dO6lTp05UvXp1atKkCX3yySf07NkzjXX58ccfKSgoiKpWrUotW7akxYsXU35+frk+lykOjC+++ELsXqYsAUDZE4cgPDzcoDnamWbXrl2jzZs3K3zfKjpg35RU1f3OnTu0ZcsWrZMWMMYYM524uDiV3cdkx7PUrVtXoRuZVCpVuBYouycR3nN0dKQGDRqQi4uL0VrwbSWQkRARgTEtPX/+HFWrVkV2djbc3d2Nss+pU6di1apVyMnJgZeXF549eybOhBsbGyumapYlpGqOjY2FRCKRS9vMKkabWe4bNGiAAwcOoEaNGuIcMLbi+PHjyMzMRO/evcW5ZbT5nXl6ehqriowxZhPKplCWdfbsWWzZsgWBgYFwcXHB33//DYlEAiJCcHAw8vPz5badOXMmli5dKs4/psyHH36IJUuWYMKECZBIJPj666/h6uqKWrVq4fbt22jfvj3++ecfg3zWskxxv2YSJg6kmIUxRYS/dOlSAkApKSli8y3UtLKoeyrCLTMVo80s9w0aNKBffvmFnj59aurqmozQ3Sw5OVmr35mXlxcVFBSYutqMMWY1tBkD4+joSFFRUUq7j/Xt25cAkIeHh5gy2d7enubPn690f9qc66tXr260c72ttMjwhJjM7E2aNAkff/wxRo4cifT0dMTGxuLQoUM4ePAgFi5cqHTSzLItNcI6kZGRCAsL45aZctJmlnsXFxcMHz7cpieIdHJyQv/+/XH37l3s2rULtWvXVvs7q1Wrlth6wxhjrOIyMjIglUrh4+ODzZs3K5x7Bw0ahNu3b+PUqVOoXr06IiMjERERgcjISHh7e6N+/foAgEePHmHUqFE4ffo02rRpg+joaLGnhywnJyfY2dmp3B+f6w3EtHEUszSmivCFDGZ+fn6UnJxMH3/8MdWsWVOnMTNEPNeMPqiaP4XnVVFt2bJl/DtjjDEj0nYMzBtvvCH+LJtdrEGDBnL3GAJtkgyZw7neVlpkOJBhOjHVgaEsgxkAcTC/qtTMsoSTTOPGjTmYqQBl879Y2pwwxibMOyPMnyO8x78zxhgzDCGQCQwMVJpC2d/fX7yXGD9+PAUGBorr169fX2kQI1A37YODg4OYHEDYX3BwsNHP9RzIMKaEqQ+MwsJC+uKLL8je3l7si+rl5SWeQDSddITghcfMVEzZp0vcsqAZ/84YY0y/VE1oKTup5cqVK5Wee4X3ZV+yY2pU3U8Iyk7ELQQ25nKuN/X9mrFwIMN0Yg4HhrLB/05OTipPPqqCFg5myk8qlVKrVq3EFgZuWdCs7O8pODhY7qkdY4wx7Wk7mH/gwIFUvXp1hRTKqampBIAmTpxIcXFx1LJlS3G78PBwreog9AYBQA0bNqTk5GTKzs4mf39/uf2Z4vpoDvdrxsCBDNOJORwYU6ZMIQCUk5NDRCSeyJycnMQnI2XHzWjKcMbBjG5SUlJo7dq1cn2KuWVBs7KzPEdHR9P169dNXS3GGLM42kxoaW9vr3IMzIQJEwgAxcXFifcOsoGJti0yDg4O5O7urtD13dTXR3O4XzMGDmSYTszhwFDWIiNMPhobG0vt2rWTOyFpClI4mNHNyZMn6fTp00pnuWfqKfudHTlyhE6dOmXqqjHGmEXRdjC/sjEw48ePF5cJLTFlH4Bq011ddlxM586dqVevXjRlyhT66quvqHnz5ia9PprD/Zox8ISYTCfmMMFSUVER3N3d0bBhQzEd8+DBg7Fq1SqsWrUKfn5+uHr1KqRSKRo3boxr165pLPPVV19FYmIi+HBQ7/z588jNzUVwcDAAIDExER988AGWLFmC8PBwE9fOMij7nZ07dw6PHj3CK6+8YuLaMcaY6ambyBIAAgIC8OLFC4wYMULphJYhISEoKChAWlqa3HaOjo4oLi5WKG/BggVKp3JQt6xdu3Y4fPgwVq1ahR9//BHp6eno0qULjh49ihcvXuDbb7/F+vXrTXZ9NIf7NaMwbRzFLI25RPhl0zE/f/6cFi1aRH5+fgSAunTpotDNTBXhyUq1atW4ZUaN9PR0+vPPP01dDat1+/Zt+uOPP7hlizFm07Qd+/Lpp58SAIqIiFA7mF8YA1P2VbYlpixlLTOy78XGxtK5c+do2rRp4v2Ii4sLFRYW0uHDh+nFixdG+50pYy73a4bGgQzTibkcGKrSMTs4OFCXLl0oOjqaiEhjMFM2iOF5ZpS7efMmJSYmmroaVi87O5t+/fVXys/PN3VVGGPMJLQd+yJct0+cOEHe3t4qB/PHxcUp7EPXB52y9wft2rVT2q09OTmZANDSpUtp7969hvr1aM1c7tcMjQMZphNzOzAKCwtp6dKlNGXKFFq6dCl17dqV8vPz5d4LDQ1Vm82sUqVKOiUIsDX37t0zi5OyrSguLqYNGzbQw4cPTV0VxhgzOm3HvgjjXIRB+1AzmL8sITDRhmwCAKhINERE9Pz5cwJAU6ZMMYtrprndrxkKBzJMJ+Z8YERHR1OrVq3EJyTCy9nZmapWrao0WBGe6GibstnWPHr0iLZv327qatikPXv2UHp6uqmrwRhjRqVpIsuAgACxy5hsUKNqML8QyAitMD179tS5RaZnz55yiYbmz58vBjFlW2SWLFlCBw4cMPjvSRNzvl/TJw5kmE7M+cAQxs3Ur1+fkpOTKScnh1JSUsRxM0IwIzxdURXECGw9mHn+/Dlt2rSJx2yYUHJyMh0/ftzU1WCMMaMRAhlNE1lGR0eTRCJRGDsj+3+JRELJyckK6ZW1CWbK3gMUFhaSs7OzeE8xZ84cIiKxm5kwRubYsWOUmZlpnF+WGuZ8v6ZPDkrG/zNmcYqKipCamgo/Pz+kp6dj3bp1+OGHH5CQkID09HT4+fnh9u3bCA0NRWJiIqpVq4Znz54pZCORJbwfGRmJsLAwJCUlGfMjGVxGRgaysrKULisoKMDp06cxadIkSCQSI9eMCTp16oSLFy8iPj4eLVq0UPn3AoDatWvD09PTiLVjjDHtaZOJ7PXXXxf/f+LECdSsWRORkZGIiIhAZGQkvL290alTJwBA06ZNcezYMVy/fl1lmY0bN8a8efNw8OBB8XovZB0LDg5GrVq1xOxkyjKT9ezZU7z2Ozk5oX379jh27Bjq16+P119/HTk5OQgICIC3tzfS09MRFBSE1NRUuLi44M6dOwD43Gxwpo6krNXly5dp6NChVLduXfLw8KDBgwfTlStXylXW7Nmz1WbvEF5ffPGF0u2zsrLIzc1N6TazZs3SqS7mGuErm1tGWZPv0qVLiah8/WOtSUFBAXl6eqr9Pnl5eVFBQYGpq8qI6MaNG+Th4cF/L8aYRdI2E1lsbCw1aNBAbgwMdBj7UpaqVhfZ1hZdJtKOjo6mmjVrivcXQr3N8dxsrvdr+mZdd2dmYu/eveTm5kajRo2iZ8+e0YsXL2js2LFUpUoVSk5O1qms/Px8qlmzplaBzIULF5SW8cknnyhd38XFhe7du6dTfcz1wJgyZQoB/xuEJ5xklA3CI9I9Y4nsyc4aupoJEzP6+voqzQrj6+vLk1yaEalUSh07dqTGjRvz34sxZnG0zUTWvn17Wr9+vU5jX1TRpeuYsq5nAtmkQp999hmFh4eL702ePJl8fHzM8lpqrvdr+saBjJ5duXKFKlWqREFBQVRSUiK+X1xcTH5+fuTh4UFZWVlal7d+/XqqW7cuff311/T333/TxYsXFV7+/v7UokULpds/e/aM6tatS6mpqQrb3bx5U+fPZ64HhrIWGVVpEQX6OslZKqG/saqsMGXfZ6bFfy/GmKXSNhNZXFwcJScnaz32RRV9PKxUNc2Dk5OT3DQP5npuNtf7NX3jQEbP+vXrRwDo22+/VVi2ZMkSAkCjR4/WurxBgwbR3bt3VS6/e/cuSSQSioqKUrp84cKFNGnSJK33p4m5HhhlB+HFxsZSUVERvf322wTIT1QlS1Ozc+3ataljx45aNztbEqFVRvZpkbL3mHngvxdjzFKpy0TWsWNHsdVFaGVJTk5WOoml8NLUu0Uf3cdlJ95OSUmhzMxMWrp0qdzE28JnMMdzs7ner+kbBzJ6dO3aNTFiv379usLy8+fPi9H8o0ePNJZXXFxMp06dUruOkL3j3LlzCstyc3PJw8ODkpKStP8QGpjzgSF70klOTqbnz5/TihUrqEmTJnInnbLU9Y/Vpn+tJSv7xMjUT5CYevz3YoyZk23bttGCBQtUvoT0/UIg8+GHHyo9hwn3MtqMe9FGeVpkZCl7OLpjxw6KiYlR+nDUHM/N5ny/pk8cyOiRcCBWqlRJ6fKSkhKxiXLdunV62WdoaCg1b95c6bKvvvpKDKzq1atHM2bMKHfCAYE5HxiqmoEdHBzkmoGV0UdqRksk5OUPDg42iydITL2yf6Pg4GBq164d/70YY0an7QD+w4cP09ixYwkARUZGkre3N3Xo0EG8/nh7e1NqamqFA5myXcMqcg1X1l1d+KzKuqsL52Zzupaa8/2aPnEgo0f9+/cnACoDCyIiX19fAkDjxo2r8P4ePnxI9vb2NG/ePIVlBQUFVL9+fYWTipOTE0VHR5f74LKEA0N2YJ7w7759+zRuV9HJsizV3LlzCfhfVhh+um/ehCd9wt8rKipKqxZexhjTJ20H8Ddo0IC6du1KwP8yjsmew2TfL28go+xh5I0bN8RkSbr2qiibQEgYc6sqgRARiUkKzOVaagn3a/rAgYwetWrVSmO/TGG8Rffu3Su8v7Vr1xIAOnv2rMKyzMxM+umnn2jx4sU0evRoqlevnlxAM2zYsHIFM5Z6YISGhioEOGXHy8jSR/9aS3Do0CG6f/8+hYSEEACTP0FimglP+4S/V2lpKW3cuNHijknGmGXTZQC/7LoVyUSmjKru4fXq1SOpVKpTemWBbIvMBx98IAYxqlpkiIj27NljVtdSS71f05Vl3n2Zqdq1axMAGjBggMp1unXrRgAoICCgwvuLiIggPz8/rdYtKiqiL774gipXriyeMD7//HON2xUUFFB2drb4ysjIsLgDIzo6mho2bKjQBO7s7Kyyy5kttMjcvXuX/vzzTyIiSkhIoKCgIEpISDBxrZg2yv69pFIp/fbbb5SXl2fimjHGbIUuA/j1kYlMGW3HseqaeVTZGBkiEruZKUsgtGfPHrO6lnIgw3QmND0OHz5c5TrCgPSmTZtWaF9PnjwhR0dH+vTTT3Xa7tSpU1S1alUCQFWqVNH4BY+Ojlba79WSDgzhd16/fn1KSUmhnJwcSklJUcg8UlZ5+9dawnwzUqmUNm7caOpqMD0qKSmhuLg4KioqMnVVGGM2QAhkhPHBmgbwVzQTWVm6XqN1vTYL9w6NGjUSEwglJyervHfYs2ePTvU3NA5kmM7c3Nw0BjJC17Lg4OAK7evHH38kAHT69Gmdt01ISBADkq1bt6pd19JbZMo+VZk4cSIRqX+qIkvT05569erRwYMHFdY39/lm9u7dazF/Q6a9wsJCiouLk5vDijHGDEEIZEaNGkW1atUyyAB+VYzRayI6Oprc3d0VEgi5uLgo9Oa4d+8enTx5Uud9GJKtBDIOYHpTs2ZN5OXlIT8/X+U62dnZAAAPD48K7Wvr1q1o0qQJWrdurfO24eHheO2117Bv3z5cu3ZN7brOzs5wdnYuZy1Nb82aNSgsLMTPP/+MhIQEREVF4fvvv0dRURFiY2MRHh6Ozp07Y82aNZgxY4bC9klJSQgLC0NkZCQAYN68eVi4cCEiIyPRs2dPJCUlYeHChbhx4wZ+/fVXHDx4EAsWLJBbLywsDElJSUb+5KpdvXoVtWvXhru7u6mrwvTMyckJAwYMwKZNmzB06FBIJBJTV4kxZiG2b9+O8+fPq1weEBCA119/HQDw5ZdfYvny5QAAFxcXZGVlISsrC7Nnz8Y///wDAPjuu+8MVteDBw8iPDwc8+bNU7vevHnzcOTIESQmJuq8j/z8fPz888/o06cP1qxZg2vXrsHX1xeTJk2Ck5OT3LppaWkIDw/XeR9MD0wdSVmTiIgItV2ViIg8PDwUMl3o6vnz5+Ts7Exz584tdxnffvutwkA1bVhahF8284gwWE9d5hFlNLW0tGzZslyZUYytqKiItmzZYupqMAPLzs6mTZs2mXywKWPMMmibSnn8+PEUEBBAU6dONegAfk0M3SJTUlJCoaGhWq9vbt3KiCzvfq28uEVGj7p27Yr4+HjcuHFD6fLc3Fw8evQIAPDqq6+Wez+7du1CYWEhBg0aVO4yGjZsCABo1qxZucuwBL6+vgCA8+fPIyEhAUVFRXBwcEBRUREWLFggPkER1lNFaJlJTEwUW2IEYWFh+Pfff8WWGFnC/82lZWbPnj3o16+fSevADM/d3R2vvPIKdu7cKT5BZYwxVTIyMiCVSuHj44PNmzfLteYSEQYNGoTbt2/jxo0bSEtLAwCkpKRAIpGAiLB27VoAgKOjI9LS0sR1JBIJGjduXKG6hYWF4eDBg3LX3qSkJLRu3Vqut0RZZXtP6GL06NH46quvKlRvZiSmjqSsyYULF8QnEPfv31dYnpKSImbLEloIymPgwIHk6+tbkarShg0bqGbNmmpTECtjaRG+sswjL168oHfffVerMTKaWFJ2s7Nnz9K///5rsv0z47tz545WcygxxmybLqmUZel7AH9ZqnpDrFq1ipYsWaJ11jJNZKdn+OyzzygsLEzrOmZlZdHx48e1/1BGYmn3a+XFgYyevfbaawSAfvjhB4VlwoH1/vvvl7v83NxccnNzozlz5lSkmvTuu+/SypUrdd7OEg8MIfOIn5+fmHnkq6++oqZNm2rsCqiJcILVhinnm8nNzaWdO3eaZN/MtK5fv05JSUmmrgZjzIzpkkrZWFTN/+Lp6Uk7duzQuJ42QUx0dDR16dJFYUC/k5OTyukZyoqPjzfLbJGWeL9WHhzI6Nnly5fJ1dWVQkJC5N7Py8sjHx8f8vDwoAcPHihsN3z4cKpcuTKtXr1abfmbN28mAJSamqp2vTNnztD27dupuLhYYdnhw4dp6NChNjMhpqoTlYODg9YnKlUspUVm8+bNnMnKhl26dIn++usvU1eDMWamhEBmwoQJWqVSNjRdW1rKmzFU9kFnSkoK3b9/n5YvX65xegZZe/fu1f6DGZEl3q+VB4+R0TM/Pz/88MMPeOeddzBnzhzExsbi6dOneP/99/Hs2TPs3r0bderUkdvm0aNH+PXXXwEAX3/9NSZNmqSy/K1bt8LHxwft2rVTW4+33noLV69eRZs2bfDll1+ie/fuKCgoQFxcHG7evIlffvnFZjIaxcTEICYmBkVFRXKZR86dO4f33nsPXbp0KXfZyrKalaWqn66yfr8VkZGRgaysLIX309LSUKtWLdy/fx+enp4V3g+zPM2aNUNhYSF2796N+vXrq1yvdu3a/B1hzArokoEMADZt2gTg5bnC29sbkZGRiIiIQGRkJLy9vdGpUyeD11kgXBt1GXeqbhyrKkVFRUhNTYWfnx/S09ORkJCAoKAgPH36FOnp6fDz88PJkydRVFQkZilTdp29cuWKeF/H51ATMHUkZa2OHj1KYWFhVKNGDWrYsCFNnjxZ6bgZwYgRIzS2yBQUFFCVKlXoww8/1Lj/Q4cOUdeuXcnd3Z1cXV2pVatWNGXKFDp16lS5Po/AmiL80tJS6tGjh17K0vT0qHbt2nLjcPQ930xBQQF5enqqzTjj5eVFBQUFFdoPs1wFBQVUp04d/o4wZuW0zUB2+PBhmjNnDgUEBNAbb7wh1yIDgGbOnCn+LLxv6BYZY/ZyWLp0KQGglJQUcW454fcWGxtLycnJctldLe06a033a+pwIMN0Ym0Hxv/93/8pHc9UHur66T59+pT+85//0I0bNyrUn1cVqVRKISEh5OvrS6mpqXTy5EnxlZqaSr6+vhQSEsLpeG0Yf0cYsw2//PIL2dvbk4+Pj9Jj3cfHh+zt7alBgwY0f/58IiKTplKWJTzg00ZFx52WnZ7BwcFBHB9DpDg9g6WdQ63tfk0VDmSYTqzxwAgNDZXLWLJ06dIKZzFT1tIilUqpfv36esmwoozQl1lVxpmy7zPbw98RxqxfeTKQJScnk0QiUWi1kf2/RCKpcBYyTUzVIjNt2jQxiFHVIkNkWedQa7xfU4YDGaYTazswoqOjqVmzZuKTGOHl7Oxc7kQAwolY1WBEVSfoip6YhadFsk+ElL3HbBd/RxizfuXNQGboVMqyVF0nif43AN9Q10qBsukZiEjsZqZsegZLOoda2/2aKhzIMJ1Y24EhnDDr169PycnJlJOTQykpKTplLNGGsZ4ylX0qZI5PiZhp8XeEMesmBDJCpjFTZyArS13Phf3799OYMWPolVdeMVjvBVnCPUDjxo3F6RmSk5PV3gNYyjnU2u7XVOFAhunEmg6Msk9jRo8eTUTqn8aUl7H6/UqlUgoMDBSfDJnjUyJmWmW/F8HBwfwdYcyKCIHMyJEjqU6dOtShQweSSqXUoUMH8vb2ptTUVJMFMurGiH7xxRdy3bgMMZ60rE8//ZSqVq2qMD2Di4uLyl4Zwjk0ODjYrK+z1nS/pg6nX2Y2a82aNSgsLMTPP/+MhIQEREVF4ddff0VRURFiY2MRHh6Ozp07Y82aNZgxY0aF9tWzZ08kJiZi4cKFSlM0CxYuXCimjyyvN954A7GxsZg9ezb+/vtv7N+/32ZSbTPNJBIJYmJi0Lt3b8yePRvHjx9HdHQ0f0cYM0O6plGeOHEidu/eDQBwdXVFZmYmMjMzMXv2bPzzzz8AgO+++86wlVZBWVpl2XTKT58+xalTp8T1Zac3OHLkiE6plbV16dIlnD59Gg0aNJCbnmHSpEliyuWyyp5D+TprYqaOpJhlsaYIv2zGEmGQn6qMJRVl6DEyRC/Tbj569IhCQkIIgFk+JWKmJzxFFL4j6enpBh/EyxjTjS5plMeNG0cBAQG0YsUKs8lAJqsi1z9142kq4vr16zRgwIBybSuVSqlFixZmfZ21pvs1dTiQYTqxpgND1xzy+qBpvplatWpRfn6+yu3UnciLiopo586dRESUkJBAQUFBlJCQoLe6M+tS9jty7Ngxunr1qolrxRgT6JJGWXYOOnPJQCYwZiYyXeul7HqrjUePHtGKFSvM+jprTfdr6nAgw3RiTQeGsowlUqmUhg4dqvcxMrLU9fvNzs6mgQMHUlpamsL6mibP3LNnT7lPyowREW3fvt0qjm3GrEF50igLjJmBTBPh+qWNis4No619+/bRtGnTyr19fHw8FRUV6bFG+mdN92vqcCDDdGJtB4aQscTPz0/MWPLzzz+Tj4+PXrOWlaUpOJkzZw79+OOPWg92zM7ONtunQsxySKVSiouLo9LSUlNXhTGbV940yubGHFpkys4VV9Fr+969e/VUM8Oxtvs1VTiQYTqxtgMjOjqaunTpopCxxN7evtzzyGhLU3cxf39/rdNPbtu2jW8+mV68ePGC/vjjD1NXgzGbZ+5plHVhjDGiyqi6xjs6OlboGs+BjPmw0ykzAGNWJiYmBkePHsXz58+xdOlSTJkyBUuXLsXGjRvRsWNHxMTEGGzfSUlJICKlGVjCwsJw/vx5uewugnnz5mHBggU4ePAgwsLCcOfOHdSvXx92dnw4s4qrVKkS2rRpgz///NPUVWGMAUhNTUXdunURGRkJIkJkZCS8vb3RqVMnU1dNTlhYGCQSCcLCwhSW9enTB40bN0ZkZCQWLlwot2zhwoWIjIzUe0YyAEhMTMSxY8fQsGFDpKSk4Pnz51i0aBF8fHxw7NgxJCYm6lzm/fv3UbduXb3Wk5Ufp19mDICTk5NCiuXVq1cjPz8frq6uRq2LshSVZcmmrOzTpw/S0tKMWUVm5Ro1aoSHDx/i0qVLaN68uamrw5jF0yWNcmlpKYYPH45jx44BeJlG+cGDB3jw4IFZpFFWRrhuhYeHIzExEWFhYUhKSkJhYSHee+89jBkzBteuXRPTKQMvr2OGDGKKioqQmpoKPz8/pKenIyEhAaWlpXj69CnS09Ph5+eHkydPoqioSGWqZWXOnj2LiIgIvdaVVYCpm4SYZbGVpkoiohs3btDrr79u9P1Ch4GRQgpdxgxh165d9PjxY1NXgzGLpm0a5aSkJBo0aBAFBATQb7/9ZpZplJVRNZazQ4cONHDgQHr69KnS9TUlsKkoZZlJHRwcKpyZ1BK6lRHZzv0a3wExndjKgSF466236PLly0bdpzkMjGSM6OWg4t9++42Ki4tNXRXGLJa2aZQ9PT1py5Yt4nbmlkZZGU1TCqi6PhlqbhhZZeeKE4KYis4Vx4GMeeGuZYyp8euvv6JXr144dOiQ0fYpO5sxAKXdy4Tm+C5duqgcY3Pw4EGDNNcz2yGRSDBgwABs27YNgwYNMnV1GLNIEokEpaWluHHjBh49eoRevXqJyw4cOIAbN24AAD7//HO8+eab4rJOnTrh2LFjuH79usqyGzdubLKxMuq6Qct2fxa6mckyxnXJ19cXAHD+/Hns3LkTJSUlcHJyQlFRERYsWIDw8HC59bRx8+ZNNGzY0CD1ZeVk6kjKWl2+fJmGDh1KdevWJQ8PDxo8eDBduXKlQmUWFhaSp6en0mbpgQMHqtwuISGBQkNDqUaNGuTp6UmzZs2i58+fl6sOthLhy5o7dy7FxcXJpW7U99wyymh60tWgQQOaNm2awozCxmq2Z7bjzp07lJSUZOpqMGaRrCWNsixL6DlQdq64+fPnExGJ3czKM1fc3r17Fa655spW7tc4kDGAvXv3kpubG40aNYqePXtGL168oLFjx1KVKlUq1AT87bffquxfe+rUKaXbxMTEkJ2dHa1evZoKCwspIyODOnToQC1atKCHDx/qXAdbOTAEQupGe3t7ud+3s7OzwdMzE6nuexwUFEQ5OTl09epVev311+nWrVtq1+dghlXUqVOn6Ny5c6auBmMWRwhkVqxYYfFplAXCwzJtGGuSS2WEueIaNWokzhWXnJwsBje6zidjKd3KiGznfo0DGT27cuUKVapUiYKCgqikpER8v7i4mPz8/MjDw4OysrJ0LrekpISaNGlC8fHxdPHiRbmXqpae3377TWn/z+vXr5O9vT2FhobqXA9bOTAEwknQx8eHfvzxR8rJyaGUlJRynwTLo2wLS48ePeROpqWlpTR58mRq2bJlufoqM6at/fv3U2ZmpqmrwZhFWb9+PQGgUaNGUf369alDhw4klUqpQ4cO5O3tTampqRYXyFhCiwwRUVRUFFWpUkVhHhkXFxedH0ZKpVIOZMwQBzJ61q9fPwJA3377rcKyJUuWEAAaPXq0zuXGxcVRnz59tF4/NzeXateuTQAoPT1dZT1//vlnnephKwcGkWKz9NChQ6m0tLRCzdLlJTswcseOHQqDr0012RizPb///jsVFRWZuhqMmb3i4mLq06cPeXl5EQCaMGGCeCM9c+ZM8WfhfUsKZIiIWrdubfbXnXHjxtGRI0eosLCwwt3DL126RNeuXTNALQ3DVu7XJERE5Rxew8q4fv26OGjs+vXr8PHxkVt+4cIF+Pv7w8nJCffu3UPNmjW1KpeIEBAQgNmzZ2PUqFGQSCQat/nhhx8wZswYeHt749atWwrLV69ejSlTpqBt27Y4efKkVvUAgOfPn6Nq1arIzs6Gu7u71ttZomXLlmHmzJlISUlBQkICoqKi4OjoiOLiYsTGxiI8PBydO3fG0qVLFeag0YeMjAxkZWXJvff06VPcuHEDbdu2Re3ateHp6anVvDOAYScdY7ajqKgI69atUzvAWPhuMmZNtJ0LpqSkBP/5z39w9+5dLF26FPfv38eIESMAAOPHj0dKSgrS0tIQGBiITp06Ye3atQCAuLg4DB8+3CifRRN1CWOICB9//DG8vb3xxx9/KL3+mMP15smTJ3j77bexf//+cm1f9hp87NgxdO7cWbwHM/fznM3cr5k2jrIuQj/XSpUqKV1eUlIiNm+uW7dO63L/+OMP8clNjRo1aOzYsXT69Gm127z55psEQGUrztGjR8UydUlCYCsRPpFi6kYnJye9pG7URkFBgcrEDsLLy8uLCgoKLKavMrMOBQUFVL9+fa2+m4xZC23ngmnXrh0FBgbSkSNHxG0tIY2yLHUJY27cuEFvvPEGXbp0SWF9cxub2atXL3ry5Em5ttXlGmyubOV+jdMv61F8fDwAwMvLS+lye3t7eHp64tq1azhx4gTGjh2rVbmfffaZ+POTJ0/w3Xff4YcffsD48eOxbNkyhRlppVIpEhMTAQDe3t5Ky5RNH3jixAk0adJEq7rYEtnUjQkJCeLsvxVJ3agtJycneHp6wtnZGRs3bpRrhSMiDBkyBLVq1YKTkxN69uyJxMRELFy4UGOLTGJiInr27Kn3+jLb4eTkBG9vb7i6umr8bjJmLTIyMiCVSuHj44PNmzcrfO8HDRqE27dv47XXXsOCBQvktjX3NMqyyrbwCy0rYWFhGDZsGM6dO4c//vhD7vPLThlw5MgR8Tpjypb/w4cPw8fHB9WrVy/X9rpcg5mJmTaOsi6tWrXS+HS8Y8eOBIC6d++uVZm5ubn0888/09KlS2n8+PHUuHFjuScCPXr0oPz8fLltsrKyxOULFy5UWm5eXp64TlRUlNaf0VYifCLFMTKxsbFERDRx4kSjjJERMtoIGW7Uvc9jZJgx6fLdZMwaCJnH1H3vYYHjXGRpSvkfEBCg1fbmcJ3p3r07lZaWVqgMSz/P2cr9GgcyeiQMrh8wYIDKdbp166bVCUEVqVRK33//PdWqVUtuoKCsf//9V1y2fPlypeWUlpaK60ydOlXl/goKCig7O1t8ZWRk2MSBIRCylvn5+cmlbhS61hgya5lUKqWQkBAKCQmRm3eg7HsCTRehevXqqQy6zOkCxMyfrt9NxiydNc4FI8vSH4bJDubv168frVy5ssJlWvp5jgMZpjMHBwcCQMOHD1e5jnBj3LRp0wrt69atW2ImFHt7e7p69aq4THb8i6qxOMXFxeI648aNU7mf6OhopX1Drf3AEAjzyJRN3ejk5ER169Y1+DwyZZ/8aHoSpK6v8uPHj2nQoEF06NAhpdvwBJpMF7p+NxmzZEIg8/rrryv93lviXDACS0mlrIyqa7S+5nqz5PMcBzJMZ25ubhoDGaFrWXBwcIX3d/78eXEA+pdffim+f+LECY2BjGzXsjlz5qjch623yAiUpW589dVX6fHjxwbdr1QqpdatW1NwcLDWT4I0BSbLli2j2bNnk1QqNdtBmsz8lf0+BgcHW8RTSsZ09eLFC2rWrBkBoH379pG3t7dVzAUj0NQlXpa5JYyR7TWRkpJCu3fvpgMHDuhtrjfh3KbLNdhccCDDdCa0kAwcOFDlOsLJsG/fvnrZpzBeY9KkSeJ7165dE4OUFStWKN3u/v374jqLFy/Wen+2cmBo4/Hjx/Tqq68afD9Cq5gw74A2T4I0dRW7cuUKeXh4qO2KxsEM00R4Oil8N3/99VdTV4kxvcnJyaHu3btTmzZt6LPPPhO7cgvXTmuYC4bIcltkyo5jjYyMpD179uh9rjdhDkBdrsHmwFbu1zhrmR61aNECGRkZyMzMVLnO48ePAUBhjpnyGjBgAL7++ms4OjqK7zVq1Aiurq7Iz89XWRehHvqsi62pUaMG/Pz8sH//fvTu3dsg+3jw4AF69eqFAwcOYOnSpQgJCUFERITG7TRlixk/fjwePXqkdO4Z4f9Cphqec4apEhERgZCQEPG7KZFIUFpaCnt7e1NXjTEF2s4Dk52djX79+iE3Nxe//PILWrVqhV9//RUA8M0334hzwSxdulScC+abb74x1sfQu6SkJHTq1AmRkZEAoDT7pTnMC1PWmjVrUFhYiJ9//lmc603ILCo719uaNWsqNNdbixYt5M5z2lyDmRGZOpKyJsJTgPr16ytd/uLFC/HpzY4dO/Syz8uXLxMAWrNmjdz7whOWt99+W+l2u3fvFsfX6JJn3VYifF107drVYGVv376dpFIpJSQkUFBQECUkJFS4TEt9+sbMk+x3Mzc3l7Zt22bqKjGmQNt5YFq1akVt2rShCxcuyG1vaXPByNLUQr9o0SKaM2cOvfLKKxbVSi8719vNmzfFv4e+53rbu3evXq/BxmIr92vcIqNHb775JqKionDv3j08ePAAdevWlVt+7tw5AICzs7Pe5vJ4+vQpHB0d8cYbbyjU5eDBgzh58qTS7YS6BAcHlzvPOnvp/fffR2RkpMLcARX14sULVKpUCRKJBOHh4Thz5oxeyj148CDCw8PVzjkDvHwqJ8wJwJgqZb+bzZo1w+nTp9GmTRvTVYqxMrSdB2bkyJH48MMPFba3pLlgZAnzwoSHhyMxMVGulf3mzZv44IMP8NFHH6Fjx47i+rItM+bYEiOQnett2bJlKC4u1vtcb5mZmahduzbatWunt2sw0zNTR1LW5rXXXiMA9MMPPygsE55qvP/++3rbX1RUFM2ePVvh/dzcXHEMxPXr1xWWh4WFEQD67bffdNqfrUT4ugoNDVWYz6eidu3aRcXFxXotk4hbZJjh7d27t9wzajNmCLYwD0xZ6pK5fPnllzRr1iylg9YtJZOlMEZGGJ8szPWmzzEy+/fvp5KSEn1V2ahs5X6NAxk9u3z5Mrm6ulJISIjc+3l5eeTj40MeHh704MEDhe2GDx9OlStXptWrV8u9f+XKFdq8eTPl5uYqbHPx4kXq1asXFRQUKK3L+vXrlWYlu3DhAkkkEurevbvOmTds5cDQ1fXr1+n1119Xmt2sPIqLi2nXrl16ruX/WPqcAcy8SaVS+u233ywisw+zDdY+D0xZmuYVa9eunVbbm/s1QMgEW3auN31lLdu7d6+eamp8tnK/xoGMAfz+++/k4OBAH330ERUUFND9+/epf//+VL16dTp27JjC+llZWeLTIH9/f7llwhMRX19f2rZtGxUWFlJhYSH9/vvvNGXKFHrx4oXaukyZMoUcHR1p06ZNJJVK6dSpU+Tn50eBgYGUmZmp82ezlQNDV9HR0eTh4SGmwxZe5c1lHx8fr/FvW1GaLnTt27enwYMH08WLFzWWYe4XO2Z8T548oX379pm6GowR0f8Cmb59+1rdPDBl2dKDKh8fHwoODlaYR8bFxaXC88hIpVIOZCwABzIGcvToUQoLC6MaNWpQw4YNafLkyXT//n2V648YMUJpi8zZs2cpIiKCqlevLqYZfO+99+jw4cNa1+XHH3+koKAgqlq1KrVs2ZIWL15c7m5QtnJg6ErIZV+/fn1KSUmhnJwcSklJKddTIalUStu3bzdgbf9H0zwyUqmUIiMjad68eQpP1y2l+wEznVOnTqkNhBkzhvv371Pjxo0JAB0+fNjq5oGRZUtdh7ds2UIfffQRESmf662izpw5QxkZGRUux1Rs5X6NAxmmE1s5MHRRNpf91KlTiaj8/XSPHTtWrtay8tImILl06RINGTKE/vnnH7lteCJNpsm2bduUdo1lzNDu3LlDHTp0oI4dO9Ly5cutdh4YWcK5XBvmNrmlrrp162bQ8vfs2WPQ8g3NVu7XOGsZYxWkLJf92rVry53LPisrC507dzZ8xf+/pKQkhIWFITExUWVmmmbNmmHDhg1YvHgxBg4ciIyMDLk5aHjuGaZK//79sWXLFgwZMsTUVWEWTtt5YG7duoW33noLdnZ22LlzJ+rWrWvV88DI6tmzJxITE7Fw4UK1mSkXLlwonvMt0bRp0zB37lyD7kM2sx0zY6aOpJhlsZUIXxeyueyJSBwnU55c9ufPn6crV64YtL4VYUt9r5n+3L17V6fusIyVpe08MH5+fhQcHKyQVMeS54ERaDMmsaCggOrXr2/V5+msrCyKiIgw6D5yc3Pp0KFDBt2HodnK/Rq3yDBWQbK57BMSElBUVARHR8dy5bK/du0a/vOf/xi0vuUlzEcg2xJTFrfMMGXq16+Pmzdv4tatW2jYsKGpq8MskLbzwEyfPh2TJk1S2N5S54ERqJsPRhAXF4f4+HicP38eb731ltx8MAJznhdGW2+//TY2b95s0H2cOHFCnFuHmTlTR1LMsthKhK+LsmNkYmNjSSqV0pAhQ3QaI5ORkUGpqalGqrXuYEN9r5lhbNq0iYqKikxdDWaBbHEeGIGmMYl3796lIUOGKCSJscaxjH/88Qd98MEHBt+PJWcrE9jK/RrfaTCd2MqBoSsha5lsLvvff/+dGjZsqHXWMmNlKisvW8qGwwyjoKCAtmzZYupqMAtka/PACDSlyffx8aEZM2aonLTR0rNLls1GVtF5YbTFgYzl4K5ljOmB0H0sNTVVbqC+vb09OnXqJC5XJTs7G+7u7gatY0UJSQGUdVcQCN0WQkNDLbbbAjMcZ2dntG7dmrttsHKrW7cu4uPjER8fj169eiE+Ph4nTpzAypUrMXXqVFNXT6/UdeeV7cablpYGe3t7pWVok8zFHMXExCAxMRGpqakoLCwU33dyckLXrl0RHh6OmJgYg+z7zp07qF+/vkHKZgZg6kiKWRZbifDLq+zTo/T0dOrfv7/G7Xbu3EmlpaVGqGHFaXpC2LVrV3r33Xfpp59+0liGpT0dZPqRmJho1BTjzLKdP39ebN0+evSoVc8DI7D1FnDZXg4pKSn0+PFj+uKLL8o1N5uu9u7dazHXY3Vs5X6NAxmmE1s5MPRpzJgxarOfFBYWWly+em36Xu/bt4+GDRtGly5dUrqtpXZ1YPrx+++/W8XNAjOcs2fPUlBQEHXv3p2+++47m5gHRiCcI7VhbWMSlY073blzJ0VHR5drbjZdWUO3MiLbuV+TEBEZqfGHWYHnz5+jatWqFtEVypx07doVR48eRUZGBrKysuSWJScno127dnB2dkbt2rXh6elpolrqpmwWHWXdFogIsbGxePz4Mb788kv07t1brquENWTQYeWTk5ODLVu2ICgoSOU6lnQ8MPW0nQMGAE6dOoXRo0ejevXq2LNnDypVqoRff/0VI0aMAABxHpi0tDRxHpi1a9cCeJm5a/jw4Yb/QAamTZZIwDqykJW1bNkyzJw5EykpKeLcbI6OjiguLpabm23p0qVazc2mTtlrcmlpKY4fPy52Ebfkc5DN3K+ZOJBiFsZWInx927hxI82aNYs8PT3VzoPg5eVFBQUFpq6u1rTtIpaZmUl169ZV2yWNW2ZsS0FBgfidsJbjgSmn7Rww33zzDQUFBdErr7xCL168kCvDGuaB0VW3bt2sej4YVcrOzebg4FDuudnUKSgosLprsixbuV/jwf6MGcHgwYOxdu1a1KtXD87Ozti4caPCPAhDhgxBrVq14OTkZMKa6kbbJ4DDhg3DgwcPNA5a5blnbIeTkxMaNWqESpUqWc3xwJTTdg6Y5cuX49SpU3BxcVEow9LngZEltLaoakWRSqX49NNP0aZNG9jb21vtfDCqyM7Ntm7dOpSUlMDJyalcc7Op4+TkBE9PT6u6Jtsk08ZRzNLYSoRvCI8fP6Y2bdqonQeh7PvWwNYHrTLVVH3vrfl4sEW2PAdMWZrGCP7yyy/0zjvv0M2bNxW2sab5YNQRxsg0adJEHCNDRBQbG6v3MTLWfA6ylfs1DmSYTmzlwDCU2bNnk5+fH4WEhMjNgxASEiL3njURLtrasLZBq0w9Zd99az8ebJGtzgFTlrqA5NSpUzRixAjat2+f2m1tJUmKsrnZkpOT9Z61zJrPQbZyv8Z3DEwntnJgGEp0dDS5urrKPekRnvy0bNmSoqOjTVtBA+AWGaZO2Sef1vAklMkTApmYmBilf+uVK1dafSCjKW19kyZNtC7DFs6RYWFh1LhxY3J2dpYbs+Li4kJdunTR67XSWs9BtnK/ZvaBzCuvvEI9e/aUa2bV5O7du+J2TL9s5cAwFOEpk6urKwUHB5NUKqXg4GCqVKmSwXPjm5KmYEa4mNetW5cOHjyoVVl8fFuHsk8/reFJKJM3d+5cMV2yl5eX1c8BU5a25z8+p7304sULCg0NJSLFudkMkXJZOO8I12RrOQfZyv2a2QcyEomE7Ozs6MKFC1pvc/XqVXE7U7l8+TINHTqU6tatSx4eHjR48GC6cuVKucs7evQo9e3bl6pXr07Ozs7UrFkz+uSTT+jZs2cat83KyiI3NzelGTlmzZqlUz1s5cAwhLK58YULu/CzoXPjm5qmJ5LCRfz777+nd955R+nxYmvdK2yF8ARUOB4s/Ukoeyk+Pp4CAgIoKCiIANuZA0YWt0jr7rXXXqO7d+8adZ979+61unOQrdyvcSBjAHv37iU3NzcaNWoUPXv2jF68eEFjx46lKlWqlCs15Pfff092dnZKAxFfX1+6deuW2u0/+eQTpdu6uLjQvXv3dKqLrRwYhrB06VICQCkpKTR06FCyt7cnAGRvb0/z58+n5ORkAkBLly41dVUNRttBq1KplGJiYmjs2LFisG5rA15tifAUVBhHocv5nhnetm3baMGCBSpf27dvl1t/37595O/vT/369aPi4mK5wf7jx48Xx8QEBgbS+PHjrXqwP48R1M22bdtoxowZRt/viRMnqF27dgTAKlpjiGznfs3sj5jyBDJnz54liURCbm5uBqyZcleuXKFKlSpRUFAQlZSUiO8XFxeTn58feXh4UFZWltblXbp0iRwdHWnAgAEUHx9PV65coX379lGnTp3Ek3/79u1VzpD97Nkzqlu3LqWmptLFixflXrp01xPYyoFhCEJu/L///puuX79O9vb25OjoSA4ODkSkv9z45k6XVpW8vDyaMmUKeXt7a9WawyxXQkICBQUFUUJCAv3xxx9W2zJpabSdA+bw4cO0a9cu8vf3p//85z9y1z9bnANGwC0yuuncubNJ9rtnzx65c5A1sJX7NaucR2bfvn0AYJLZWGfOnInc3FxMnjwZ9vb24vsODg54//338cEHH+Cjjz7CDz/8oFV5S5cuxSeffIKYmBjxvSZNmqBnz57o1asXDh8+jNTUVBw6dAhhYWEK269atQoDBw5Eu3btKvzZWMUIOe///PNPFBQUoLS0FBKJBCUlJXrNjW/ukpKSEBYWhsTERI1zILi6uuLff//F7du3eQ4aKxceHo4zZ84AAIqLi7Fr1y4MHDjQtJViWs8BM3z4cHTo0AFnzpyRu/YB1jUHjEDTXDAAkJaWBk9PTzRr1kzpXDACa54TRhdjx47FZ599ZrL9y56DmAUxdSRV1ujRo+VeQovMgAEDFJaVfb399tsUHBxMdnZ2ZGdnR+PGjTNq3a9duyY+Xbp+/brC8vPnzxPwcnbaR48eaVVmnz59VDZxnj59WtzfF198obA8NzeXPDw8KCkpSbcPooatRPiGUFhYSE5OTtSgQQMCXubGz83NpeHDh9vEGJny4KeZtuvSpUt06tQpU1fD5mk7B8z69etNVEPj09SqfP36dRo5ciQtWbJEvH5rO0bQVl2+fJkGDBhgkn3fuXOHTp8+bZJ9G5Kt3K+ZXSAjBC7CSyKRKLyn7iWsX7NmTaXBhCEJKSQrVaqkdHlJSYmYSnDdunValXn16lW1y6tWrUoAaMWKFQrLvvrqK/EiU69ePZoxY0aFEg4Q2c6BYSgtW7YUgxYhN/63335LjRs3tuqsZeUl3Cxog/uXW59du3ZRTk6Oqath09TNAdOhQwcKCAiw2vEtyqgbq5eZmUnvvfceRUZGKu3uzeP8VOvWrRsVFRWZZN979uyxijExZdnK/ZrZXfUbNmxIjRo1El9CENOgQQO598u+fHx8qEWLFtSzZ0+aN2+e0TNeEBH179+fAFDz5s1VruPr60sA9NZaVKtWLQKgkLK2oKCA6tevr9CX2cnJiaKjo8t90NrKgWEoQ4cOpS5duijkxre3t6fOnTtb5TwyFWGIFhlO32w5SktLadOmTaauhk0TAhnhQZ0tzgEj0NSq4uXlpbFFnTMvKqZUXrhwIa1Zs8Zk9dmzZ4/J9m1ItnK/ZnaBTFnlGexvKq1atdL4BLljx44EgLp3717h/T19+pQkEgnVq1dPbmAlEVFmZib99NNPtHjxYho9ejTVq1dP7sZ52LBh5QpmbOXAMIT09HS6ePEiESmeyI8ePUrDhg0zcQ3Nk7ZzMNSrV49++eUXrcqy5ZsIS3Pr1i2rHARuKYRAZtSoUVSzZk2bmwNGoM+5YGz1YUp0dLTKB3n6nuRSW3l5eXrtfm9ObOV+zewDmR49elBoaGi5MmwZW+3atQmA2n6e3bp1IwAUEBBQ4f39+uuvBICWLVumcd2ioiL64osvqHLlyuLJ4/PPP9e4XUFBAWVnZ4uvjIwMmzgwDGHnzp1qlw8fPpxv2FTQtn95fHw8jRw5kn7++WeNZXC3DsuRkJCg9bhCpj8//fQTeXl5EWCbc8AIeKyefggTQvv5+VFKSgrl5OTQ4sWLqWnTpibrWn3w4EHKzc01+n6NgQMZpjMHBwcCQMOHD1e5jnAgN23atML769ChAwUGBlJxcbHW25w6dUocV1OlShWNX/Do6Gil6Tat/cDQt6KiItq7d6/adUpLSykkJMRINbI8ugQiSUlJNHLkSPrhhx+UbivgGw/LIJVKaePGjaauhs344YcfKCAggN555x2bngNGwGP1Kq7shNCxsbF069YtGjdunEmT3ezevduo+zMmDmSYztzc3DQGMkLXsuDg4Art69dffyVXV1dKS0vTeduEhATx4rN161a163KLjH4kJibSixcvNK63bds2mjp1qhFqZJl07Rp26NAhsVulPrqEMNN5+PCh1XYBMRRdJ7Jct24dBQYG0qhRo8T3rHUOGF26d3Xu3JlbZCpIdkLo2NhYAiA+/I2NjTXJhNBSqdRqx8cQ2U4gY5XzyJhKzZo1kZeXh/z8fJXrZGdnAwA8PDzKvZ/79+9j1qxZWLduHQICAnTePjw8HK+99hr27duHa9euqV3X2dkZzs7O5a0q+//y8vJQqVIljeu98cYbWLduHa5fv47GjRsboWaWRZc5aABgwYIFuH//vtI5aAQ8F41lqFWrFhwdHXH37l00aNDA1NUxe0eOHMHgwYNRXFysch1HR0ckJCTg4sWLWLNmDdq3b4+zZ8/KrWPNc8CEh4cjMTFR5XF/9uxZLFu2DOHh4XB2dua5YCpAuNfw9/dHSEgIFixYgOLiYjg5OSEyMhI5OTly6xnDuXPnynUPxcyMqSMpTbRNu6zsZW9vb9S6RkREaOzn6eHhQUD5Z28vKiqirl27anwypMm3335brqcfthLh69Pt27d1ylFfWFjIaZj1BNwlxOps3LjRKlOl6tsvv/xC9vb25OPjQ6mpqXTy5EnxlZqaSj4+PmRvb0+enp40ZswYU1fXaLTpopqYmEhjxoyhZcuWyX3XuItq+cm2yMyZM0fMogoTtshYc2sMke3cr5n9VVuYF6Y8Lzs7O6PWVWgurV+/vtLlL168EJvid+zYUa59vPvuu3rpenTgwAECoHHcRlm2cmDok6ZB/sqsXr26wsEq40G61ig7O1vn85Yt0nYiS2se21KWpkCkVatWNGbMGLW/E04aUj7KxsgQ/e++yRRjZDiQsQ5m37UsOjpa4zq5ublIT09HQkICCgoKEBISgoiICCPUTt6bb76JqKgo3Lt3Dw8ePEDdunXllp87dw7Ay+5aPXv21Ln8uXPnorS0FMuXL69wXZ8+fYqaNWsiLCyswmUx1UpLS2FnZ6fzdpMmTcIrr7yCqVOnwtXVFWvWrMG1a9fg6+uLSZMmwcnJyQC1tT5CVzRtuoR06NBBqy4hQrcU7kJiGu7u7qhVqxauXr2KJk2amLo6Zi8wMBBRUVGIiIiARCIBESEqKgqBgYFIS0szdfWMRjhulXUzle1eWqdOHXz33Xcqy5E9pxw5ckTrbq62zsnJCe3bt8exY8fQuHFjhIeHIycnB+Hh4YiLi0N6ejq6dOlitGtbVlZWhbr4MzNi6khKnx49ekSvv/462dvb06pVq0xSh9dee40AiNmSZAlPbt5//32dy42JiaH+/furzFD27NkznZ4uvPvuu7Ry5Uqd62ErEb6+HDlyhJ4+fVqubT/88EOqWrWqQs59Z2dnk+Xct1SansS+8sortHr1aho3bhz9+uuvGsvheWhMb/PmzTplbLQ1PJHl//DEuuZh3Lhx5OHhoXBNc3FxMfo1bd++fQrz71kbW7lfs6pAhoiouLiY2rZtS46OjvT3338bff+XL18mV1dXhTS6eXl55OPjQx4eHvTgwQOF7YYPH06VK1em1atXKyxbsGABderUie7cuUNZWVni6+HDh3Tr1i3avn07tWvXjo4ePSpuc+bMGdq+fbvSC/3hw4dp6NChPCGmEZSnW5lASNXdqFEjMed+SkqK2DTP42h0o22XkKSkJBozZgxFRUVRUVGRztsz48jPz6dt27aZuhpmS3Yiy1q1atnsRJZEPFbOXHTq1IlKS0sVJoQ2dsplIuvvVkZkO/drVnm0/vTTTySRSGjw4MEm2f/vv/9ODg4O9NFHH1FBQQHdv3+f+vfvT9WrV6djx44prJ+VlSU+mfD395db9vHHHyudx6Xsq3HjxnLbNWnShABQmzZt6ODBg1RSUkIvXrygb775hj7++ONyP8m0lQNDHzIzMyklJaVc25btTzx//nwiMm1/YmugS4tKRkYGjR8/niZMmCAGlTzI17ycP3+ezp07Z+pqmJ3PPvvM6iey1KVFhMfKmd6kSZPMZs6WwsJCio+PN3U1DM5W7tesMpBJTU0liURCDRo0MFkdjh49SmFhYVSjRg1q2LAhTZ48me7fv69y/REjRii0yAhZPrR5RUZGypV36NAh6tq1K7m7u5Orqyu1atWKpkyZQqdOnarQ57KVA0Mfdu7cWe7sSrIZXj799FOzyPBiLXTtEhIaGsrz0Jix7du3U35+vqmrYRYWLFhAAQEBNHv2bKueyFLbBxKPHj2iadOm0bhx46hdu3Z8HJvIuXPnaODAgaauhujPP/+0iXsYW7lfkxARaTuexlIcO3YM3bp1g5OTEwoKCkxdHavy/PlzVK1aFdnZ2XB3dzd1dcxGRkYGsrKyxP8TEf766y90794dAFC7dm14enpqXd7UqVOxatUq5OTkoHLlynBychJz7hcWFiInJwfu7u6YMmUKVq5cqffPw15SN0BYFs8hYTo3btzA5s2bER4ernS5rseeudi+fTvOnz+vcnlAQABef/11AEBsbCy2bNmC3r1744svvgAApKSkoEuXLpC9xDs6OsrNKyORSHDs2DGLnANGOCaVHXt79uzBzp07UbNmTcybNw9ubm5KtxXw8WtYnTt3xl9//QV7e3uj77vstRkA/vrrL3Tr1g2A5Z4ftGEr92tmn7WsPP744w8ALydQY8zQCgsL0blzZ9y5c0flOl5eXrhy5YrWk4v6+voCAM6fP4+EhAQUFxfDwcEBRUVFWLBggXjTJqzHDEOYNE9dEAO8zHokZDDShLOe6U9hYSG6d++u12PPHGg7meXQoUNx+vRp9O/fXyEDmTVPZCkbiMhmHGvUqBEiIiLQp08frF27VmF7ZVkMOYgxrJkzZ2LmzJkmCWIMcW1mZsi0DUL69eLFC1q0aBHZ29uTnZ0djRw50tRVsjq20lSpC6lUSiEhIeTr66t04jlfX18KCQnRqZuZspz7z549o3feeYfHyBiRrn3ru3XrplV5nPVMPwxx7JkDbSez7N+/v6mrajSajsXyZBzj49Cwrl69Sv369TPZ/q31/KAtW7lfM/tA5pVXXtH46tGjBwUGBpKLiwvZ2dmRRCKhKlWqUHp6uqmrb3Vs5cDQlZDSVNXEc2Xf14YwwNzPz4+Sk5Pp+fPntG7dOvLx8eGsZUak7Q1U9+7d6cMPP6Rx48bRjz/+qHBx5KxnhmGIY8/UeDJLeZw+2TJ17dpVLvOjKVjj+UFbtnK/ZvaBjEQiEYMTbV+NGjWSS0XM9MdWDgxdCU9+ZJ/uKHtPF9HR0dSlSxeFnPv29vbUuXNnnkfGiDTNQ1P2Zujo0aP0/vvv0/jx4+ny5cs6b8+0Z4hjz9SEQCYwMJA6duwo97k6duwoDty31EBG1yBCaD3RBqdPNo2yKZU//PBDWr9+vamrZZXnB23Zyv2a2R/tPXr0oNDQULWvnj170uuvv04zZsygbdu2mfwJgDWzlQOjPMo+4dHXE5+yF4h///2X+vTpo48qMx2Up0WlpKSEfH19OVuSgRnq2DMVIZAZO3as0s9lyZNZ6tqta9++fVS/fn1On2ym1D1wM5eJm63t/KAtW7lfM/tAhpkXWzkwykMqlVKbNm0oODjY4E98Pv74Y/rpp5/0Xi5TT9ebMEPNX8HdYuSVPd6Cg4Mt+mlrr169CACtWbOGvL29rWYyS20fBpw5c4YmTJhA48ePFyc91ecYGaY/sl2ghYmbFy1aZFYTNwvnB2Ncm82JrdyvcSDDdGIrB0Z5zZ8/X27iOUM+8encuTPPn2ECugQRhugSwwOVlROesgrH3n//+19TV0lnU6dOpYCAABo6dCgB1jWZpabulV26dKFp06bRhAkTaM2aNVRaWqpzGXwsGJeypDSnT5+m6dOnm11SmrLnB2tvjSGynfs1DmSYTmzlwCivnTt3UkhICAEw+BOf27dvU0REhMHKZxWna4tM8+bN1X5nOGGAasKTVuHYO3jwID148MDU1dLKpEmTKCAggJYsWUJEZHWTWWrbmtKjRw+dy+JjwHRkJ26OjY0lAOTg4CAGNeY0cfOjR4/I39/fKNdmc2Er92sWGchkZmZSYmIibdq0iTZt2kSJiYkWc8GydLZyYJTHxYsXKT09nRISEigoKIgSEhIMvs/o6Gj65ptvDL4fVn66dIk5ceIETZo0iSZOnEgrVqygkpISjeXwjdz/lD32NmzYYPQblm3bttGCBQtUvrZv3y6uO2HCBAoICFC40UtOTiaJRCI35sDR0VHu/xKJhJKTk4362Yh079ZoyIxj3CppWlOmTCEAlJOTQ0QkBjFOTk5ERPT8+XMCQFOmTDFlNYno5Vir/fv3G+3abA5s5X7NYgIZqVRKX3/9NQUEBJCdnZ3Sl7+/v8omaaYftnJglMeuXbtMst+uXbuKFxJmnsoThJw/f56mTJlCkyZN4oQB5ZSVlUVJSUlG29/hw4cVAo6yL0dHR+rXrx8FBATQihUrVJaVnJxMcXFxKl+mDGJ0CSAMlXGMx4mZnmyLjNDd0cnJySxbZHbv3m3qKhidrdyvWUQgk5mZSR07dhQDFlVpl4Xl7du3p/v375u62lbJVg4MXUmlUpMFMg8ePOCLuQUob5cYThhQMUeOHKF79+4ZZV/aTmT5zjvvGKU++qTL97ekpIS+/fZbmjx5MjVo0IAzjlkpYYxMkyZNxOCFiMRuZuYyRubZs2f0559/mrQOpmAr92tmH8gUFBRQq1atxACmdu3aNGXKFFq/fj0dOHCADhw4QOvXr6epU6dSnTp1xKCmVatWVFBQYOrqWx1bOTB0dfr0abp9+7bJ9r9o0SKzeOrF1DOXJ9q21jVn48aNRuliZq0TWWrTonj37l366KOPaPLkyTRt2jQ6deqUxu2VlcMsi7KJm5OTk80qa9n+/fttcloOW7lfM/tAZtGiRWJry9ixY+nFixcq183NzaX3339fXH/RokVGrKltsJUDQ1emao2R1aNHD3ry5InCvDOmfhrG5Bl6jEFISIhO5dnCTeTjx48pPj7e4Psx54ksy9sCp20Q0rhxY3r+/LnO5djC98+atWnThlq2bKkwj4yLi4vZzCNji93KiGznfs3sA5mgoCCys7OjXr16ab1Nr169SCKRUFBQkOEqZqNs5cDQRWlpqVmcKD/66CNyd3dXuKA4OzubzQWFlY8uWZ+WL19OU6dOpSlTptD8+fPp8ePHGsuxhZvJv/76i+7cuWPQfQiBzIgRI+RaZUw9kWV5W+D03a3RFoNoa5aQkECjR48mIsWJm83lAVpOTg4dOnTI1NUwCVu5XzP7QKZSpUpkZ2dHO3bs0HqbHTt2kEQiocqVKxuwZrbJVg4MXfz999+UmZlp6mqITfwNGzYUJyZLSUkxqyZ+Vn7lCUIyMzMpOjqapk6dSp6engbp3mNJY20M3cWsU6dOYqBiLhNZViR44G6NTJWSkhIKDg42dTU0OnDggNkEVcZmK/drZh/I1KhRg+zs7OT622py6tQpkkgkVKNGDQPWTL3Lly/T0KFDqW7duuTh4UGDBw+mK1euVKjMf/75h/r27UseHh5Up04dGjNmjFZppxMSEig0NJRq1KhBnp6eNGvWLLVdANSxlQNDF+bQrazsxGRRUVFEZH6DLlnFmGvCAEu5KX369KneJ8IrKSmhIUOGkL+/P02cOJEA/U9kqe9uYcr+ziUlJbRx40aaPn06TZ8+naZNm0YtW7bkRBNMqTfeeIPOnz9v6mpoZA69JUzFVu7XzD6Q6dy5c7lbZDp37mzAmqm2d+9ecnNzo1GjRtGzZ8/oxYsXNHbsWKpSpUq5U2Z+//33ZG9vT59++inl5ubS48ePqW/fvlSvXj1KT09XuV1MTAzZ2dnR6tWrqbCwkDIyMqhDhw7UokULevjwoc71sJUDQ1vFxcW0d+9eU1dDLg1mTEyMWafBZBVjbgkD9NVNyFg3t8nJyXTr1q0Kl1NSUkKDBg2igIAA+u2334jIMBNZGqpbmPD38vT0pOnTp9OsWbPo6NGj5S6HgxLb8eOPP9LcuXNNXQ2NcnNzjZp+3dzYyv2a2Qcy3377LUkkEnrttde03ua1114jOzs7k0wUeOXKFapUqRIFBQXJTWZXXFxMfn5+5OHhQVlZWTqV+eeff5K9vT3169dP7v3s7GyqVq0a+fn5Kc3Q9ttvvxGgOBnV9evXyd7enkJDQ3Wqh7BPWzgwtPXnn3/S06dPTV0NhYnJhLkszHFiMlZxhk4Y4OXlJT6ZnzlzJiUlJcl1ydL3WBt9texo+3tR1sVM24ksS0pK6M0336SAgADasmWLXBn6nsjSXFrgbHlsFZOXk5NDXbt2NXU1tJKQkED5+fmmrobJ2Mr9mtkHMlKplHr37k12dnY0ceJEtV/KgoICmjx5MkkkEurdu7fRZ3QmIurXrx8BoG+//VZh2ZIlSwiAODhOG1KplAICAgiA0qw7wg3s/Pnz5d7Pzc2l2rVrEwClLTZCPX/++Wet60JkOweGtsyhWxmRfIuM0J1MmGWZW2QYUfmfrBcXF9OOHTtoxowZNH36dL2PtdFXy44uwVB2djbt27dP/L+2E1l269aNgoKCaNu2bSrLFiayFLplCfVp2bKlThNZljd4OHfunEW0wDHL9Morr5SrN4cp2HK3MiLbuV8z+0DmyJEjFB8fL06IWa9ePZo+fTrFxcVRfHw8JSQkUFxcHE2fPp3q169PdnZ21LFjR0pISKAjR46ofBnCtWvXxIve9evXFZafP39efEr+6NEjrcpMSkoSL6LKxjfs3r2bAFCdOnWouLhYfP/7778nAOTt7a203FWrVhEAatu2rZaf7iVbOTC0UVBQQAcOHDB1NYhIcYxMbGwsSaVSGjRoEI+RYaKKPlk31yf95bnJ/vvvv+nGjRtEpP1EljNnzjRYfdRtX5ZQXpMmTcSWs+nTp9OMGTPo+++/p27duvGYKKZ3//d//0crVqwwdTW0kp+fTwkJCaauhknZyv2a2Qcywpww+nzZ29sbpK5Cas1KlSopXV5SUiKmxl23bp1WZc6ePVt8mqfMnTt3xOBJ9qB98803CQD16dNH6XZHjx4Vt9MlCYGtHBjaSEpKUjuvkbEpm5hs//794hN0zlrGiIyfxUq4yZ47dy4lJCSI3WD1NfaiIsHQpk2bqLS0VK8TWZpLsGiosS08UN823bp1i3r37m3qamjt4MGDlJuba+pqmJSt3K9ZRCCj75ednZ1B6tq/f38CQM2bN1e5jq+vLwGgcePGaVWm0K1M1QlEKpWKXYj+7//+j4hezmtStWpVAl5myVEmIyNDvDj/+uuvWtWFyHYODG2YS7cyQXR0NHXp0kVhHhkHBwdq0qQJzyPDRKaYVyQnJ4d27dpFH330kcbuaerK0aU+mrbPycmh3bt3i4GMvb290oks7e3ttQpkdKlPfn4+HTt2jL788kuaMWOG2HVPn93CeGwLKw9lc8J07drVolr0bb1bGZHt3K+ZfSBz+PBhg7wMoVWrVhovQh07diQA1L17d63KrFSpEgGgsWPHqlxHGAvz7rvvEhFRVlaWeBO7cOFCpdvk5eWJ6wiperVhKweGJi9evDDbbCjKLkLdunWTmxiRMUPP9K6u3PLcrAs3+tOnT6cPP/yQmjdvrpdg6MSJE9SkSRMCQBEREXKtMkJrzLvvvqu2ZVwqlercnathw4a0efNmysjIkFvOk1AyU1H3MKx58+YW8zCssLDQbLp9m5Kt3K+ZfSBjSYSAYsCAASrXES52AQEBGsuTDTbU9c328vIiANS/f38iIvr333/F7ZYvX650m9LSUnGdqVOnqiy7oKCAsrOzxZfQkmPtB4YmBw4cUJopzlw9e/aMu5YxvTF196mCgoJyBUMzZ85UeDVo0IAA0LBhw+jRo0cUEhJCISEhJJVK5X6Wzeg2c+ZMsRVl5syZNGvWLKO0pGj6vWgqj8e2MHVkuycLkypbYvfkw4cPl3uuPGvCgQzTmdDFa/jw4SrXEU4UTZs21Vie7PiXTz/9VOV6woX41VdfJSL58S+qxuIUFxeL66jr5hYdHS33ZEZ4WfuBoYm5dSvTxvr162nWrFmmrgazEsYa0F7ebmWayikoKKBXX32VAFDXrl3FY1pohREmspQdM6MuADHXRAhly+MghimjKmHM4MGDxeDGUhLGcLeylziQMROjR4+m9957j+7du6f1Ng8fPhS3MyY3NzeNgYzQtSw4OFhjeQ8fPtQqkBFagoYMGUJEL7tKaApkZFt75syZo7JsW2+RuX37tlwGo5MnT9Lhw4dp3bp1dPLkSYVuIeZuyJAh5Z6UlbGyKvqkX18tOxMnTlQ4Tk+ePEkTJ05UKKegoIDCwsIoICCA/vrrL7GMd955h7Zt20apqani2MSAgAAxi9kHH3ygsU6GaknhbmHM0JSl8BdSkptzCv+y1+jjx4/TypUrxf9b2jVanziQMRPC4PwLFy5ovc3Vq1cNOqhfFaGL18CBA1Wu06xZMwJAffv21VheUVGROMhU3ZN0FxcXAkCTJ08mIvk00KpSJd6/f19cZ/HixRrrIrCVA4Po5Q2P0KSu6uXl5WVRXcxKS0upQ4cOVFpaauqqMCtR0Sf9FblZ13b+l8OHD1N+fj6FhYVRYGCgQjDfpk0brcpp06aNzp9HYOrJQhlTxxInVbbGa7Q+2cr9mgOY3rRo0QIZGRnIzMxUuc7jx48BAD4+PhrLc3R0hK+vL9LT01WWmZubi4KCArkyGzVqBFdXV+Tn56vcTqiHtnWxRU5OTvD09ISzszM2btwIiUQiLiMiDBkyBLVq1YKTk5MJa6kbOzs7/PDDDxg4cCC2b99u6uowK5CUlFTh7cPCwhAZGYkjR44gMTERPXv21KrcjIwMSKVS+Pj4YPPmzQrH6KBBg3D79m1MnDgRTk5OWLduHTp06KBQzsmTJ1G1alV4enqqLOfRo0c4efKkTp8HAObNm4eFCxciMjJS68+lrDxdfi+M6crX1xcAcP78eezbtw/FxcVwcnJCUVERFixYgPDwcLn1zIE1XqNZOZg2jtKsPC0y58+fJ4lEQq6urgasmSKhObZ+/fpKl7948UJ8SrBjxw6tynzvvfcIAHXu3FnpcmGSTQB09uxZ8X3hKd7bb7+tdDthIk17e3t68uSJVnUhsp0IXyD0l1c1t0TZ9y1FVFQUrV692tTVYExUnpYdbed/iY2N1ViWvo91bklhlqTsGJmYmBgi+t99jbmOkbHWa7Q+2Mr9mlUGMmvXriWJREKNGjUyYM0UXbhwQbxw3r9/X2F5SkoKASBnZ2ex+VaTPXv2EPByks2SkhKF5b///jsBoAYNGsi9v3r1agJAzZo1U1ruokWL1AZIqtjKgSEom7lI1XuWKDQ0lB48eGDqajBWbkIgExgYqDD/S4cOHahFixYEaDeRpXBcd+jQQaGc8h7rPMCeWRIhGVHjxo3FSZWTk5PF4MYcs5ZZ8zW6omzlfs3supbFxsYqfX/NmjWoXbu22m0LCwtx7do17Ny5ExKJBF26dDFEFVVq2bIlXnvtNezbtw/79u3D6NGj5ZYnJiYCAEaOHInKlStrVeZrr72GVq1a4cKFC/jzzz/xyiuvKC1z8uTJcu+PGjUK0dHRuHz5Mm7cuKHQfUzYbsqUKdp/QBskkUgQExOD3r17Iz4+Hr169UJ8fDz+/vtv7N+/X64p29Ls3r0bvXr1wsGDB7FmzRpcu3YNvr6+mDRpEjfFM4sybtw4TJ06Ve4Y/eeff7By5UpMnTpVqzJUHev//PNPuY917gbGLEm9evVQr1493L17F507dxbfd3FxQZcuXcTuZebEmq/RTEumjqTKElpghJdEIlF4T9NL6FZ25swZo9f/8uXL5OrqSiEhIXLv5+XlkY+PD3l4eCh9Cj58+HCqXLmy0u4+hw8fJolEImYlEzx8+JCqVKlCfn5+lJeXp7Dd+vXrlWYlu3DhAkkkEurevbvOTytsJcKXVfbpjrU86YmOjqZmzZqJacOFl7OzM3Xp0sViJj9jtktokZk0aRJVq1ZNbE3p0KEDeXt7U2pqqtYtMkSKx3pwcLBVHOuMafLkyROxxUXZpMrmTDhWg4ODreoaXVG2cr9mloGM7KtsQKPu5erqSo0bN6YRI0aYJIgR/P777+Tg4EAfffQRFRQU0P3796l///5UvXp1OnbsmML6WVlZ4k2kv7+/0jIXL15MEomEVqxYQSUlJXTlyhUKCQkhb29vunz5ssq6TJkyhRwdHWnTpk0klUrp1KlT5OfnR4GBgZSZmanzZ7OVA6MsdXNLWCqhG4Gnpyft2bOHcnJyKCUlxay7ETAmePr0KTVp0oQA0MiRI8VzqHCMAqAJEyboFMgQKR7rljhnFGO66tq1q07jZc3N559/bnXX6Iqylfs1swtkyirPGBlzcPToUQoLC6MaNWpQw4YNafLkyUrHzQhGjBihskVGsHPnTurUqRNVr16dmjRpQp988gk9e/ZMY11+/PFHCgoKoqpVq1LLli1p8eLFlJ+fX67PZSsHRllSqZSaN29OAKziSU/ZgZ2DBg2i0tJSsx/YydijR4+oU6dO1LZtW1q8eLEYtIwfP54CAwPFMTPjx48Xl+kSyAhPdIGX831t3brVgJ+GMdObPHkybdy40dTVqJBdu3aJx601XKP1wVbu1yRERIbsulZRjRo1gkQiQUJCApo0aWLq6ti858+fo2rVqsjOzoa7u7upq2M0eXl5WLNmDeLi4rBkyRKz7Cusi2XLlmHmzJlISUlBQkICoqKi4ODggJKSEsTGxiI8PBydO3fG0qVLMWPGDFNXl1mp7du34/z58yqXBwQE4PXXXwcAPHr0CP3790dxcTE2bNiAJk2aICUlBV26dIHsZczR0RHFxcXi/yUSCY4dO4ZOnTppXa/ExER88MEHWLJkCRo0aICioiIEBQWV4xMyZt52796N7du347vvvjN1VcrtyZMnuHTpEvLy8sTj1tKv0fpgK/drZh/IMPNiKwdGWYmJiejatStcXFxMXRW9mDp1KlatWoWcnBxUrlwZzs7OKCoqgqOjI4qKipCTkwN3d3dMmTIFK1euNHV1mRU6cuQIXn31VbmgoyxHR0ds3LgR//3vf1FSUoKNGzcqzGORkpKC69evqyyjcePGOgUxyuzYsQMRERFwdXWtUDmMmZPc3FyEh4cjJSXF1FWpkL1796J3796ws7MzdVXMiq3cr5ld1jLGzFFhYaHVBDGA/ORnCQkJKCoqEic/+/jjj8Wn4OY0+RmzLtpOZjlr1iwcOnQIjRo1UlpOp06dKhyoaNK3b1/s2LEDb775pkH3w5gx9e3b1yomRiYiDmJsGP/lGdOgpKQE9vb2pq6GXk2aNAnOzs4YOXIkoqKiEBsbi8LCQsyfPx///e9/MWrUKLi4uGDSpEmmriqzUhKJBKWlpbhx4wYePXqEtm3biq9Hjx7hxo0bKC0txcKFC1UGMcbi4OCAoKAgnDx50qT1YExfPvjgA4wePRp16tQxdVUqJD09HU2bNjV1NZgJmX2LTOPGjcu9rUQiwbVr1/RYG2aLTpw4gY4dO5q6Gnrl5OSE9u3b49ixY/Dz80N4eDhycnLw6quvIi4uDunp6ejSpQvPJ8MMLjAwEFFRUYiIiIBEIgERISoqCoGBgUhLSzN19URNmjTB7t278eLFC63nAWPMHCUlJeHhw4cYOXKkqatSYVeuXEHfvn1NXQ1mQmYfyNy8eVPrdYWLoOz/Gauop0+fokaNGqauht4JgyFTU1MVJj9r2rQpSkpKTFU1ZkOGDx+OOXPmyE1md+LECZ0mszSWPn36YOvWrRg0aJCpq8KYVoqKiuQmPH7vvffwySef4Pjx46auWoVJpVK+z2PmH8ho88QgNzcX6enpSEtLg0QiQZs2bRAQEGCE2jFrZ825MGJiYhATE6NwoZs0aRKcnJzw/vvvY9u2bRgwYICpq8qs0KNHjwAA169fh5eXFyIjIxEREYHIyEh4e3sbfNxLedjZ2aFDhw74+++/ERISYurqMKZSTEwMEhMTkZqaisLCQvH9Dz74AG3atBHP/5bs+PHjCA4ONnU1mImZfSDz448/ar3uhQsXMGbMGJw7dw6ffPIJBg4caMCaMVtw/vx5+Pv7m7oaBuXk5KQ0xfK3336Lbt26oVu3bvDw8DB+xZhVunbtGoYOHYpnz54BeNlynpGRgYyMDMyePRv//PMPAJhtOthGjRrh4sWLyM7ORtWqVU1dHcaUSkxMFLsO//zzz/D398eWLVswf/58pKamwtnZ2eIDmSdPnqBmzZqmrgYzMasa7N+qVSskJiaifv36ePfdd3Hp0iVTV4lZuNu3b6Nhw4amrobJ7Nu3D/379zd1NZgVuHr1Ktq2bYt33nkH+/fvF2+ivvnmG4wfPx6BgYFYunQpAgMDMX78eHzzzTemrbAavXv3xoEDB0xdDcaUKioqQmpqKvz8/JCeno6EhATk5+fj0KFDuHnzJvz8/HDy5EkUFRWZuqrllpeXx+nQGQALaJHRVeXKlTFr1ixMnjwZixcvxvfff2/qKjFmsSpXroyYmBi8++67WL9+vamrw8yELhNZpqenY9iwYXB1dUVCQoL4BLVx48biuMa1a9cCeDlvTFpamjjIXyKRVCjhi6FIJBJ07twZR48eRdeuXU1dHcbkrFmzBoWFhfj555/FCY9jY2MVJjxes2aNxU54fPToUYSGhpq6GswMWF0gAwDt27cH8DIzB2PllZGRAS8vL1NXw+R69eqFI0eOYO3atRg/frypq8NM7MiRIxg8eLDGiSzXrVuH5cuXo1KlSkhKSkK1atXk1unUqROOHTtm8MksDcXT0xOXLl3C48ePuXsLMytCtlZ/f3+EhISIQYyTkxMiIyORk5Mjt54lKi4u5qyaDICVBjLCAO3MzEwT14RZsrS0NPTp08fU1TALn332GSIiIhAeHs6TZNo4bSey/Oyzz3DixAm140iMMZmlIYWFhWHTpk0YMmSIqavCmEh2wuPvvvtODGKKioqwYMECMWOlpZ7L79+/j7p165q6GsxMWNUYGYHQd5kHYrKK4tSO/7Nnzx4MGTIEUqnU1FVhJqTtRJZRUVFWfw6WSCQIDQ3F4cOHTV0VxkTChMfDhg3D999/L054HBsbi6ioKIuf8PjkyZNo27atqavBzITVBTIbNmzAokWLIJFIuO8yK7enT58qdIWxdY6Ojvjuu+/wxhtvAHg5oHTZsmWYOnUqli1bZtEDR5nuhIkshRZw2YksbYkwMzr3AGDmwsnJCS1bthQH9gsTHoeHh4sJANq1a2fRXbP4ISMTmH3Xsvfee0/jOlKpFE+fPsWpU6dw7949EBEcHBzw8ccfG6GGzBqdOHECYWFhpq6G2WndujUKCgrQsGFDZGZmys1P8PHHH6N9+/YIDw+3+LSeTLPBgwdj3rx5FjGRpaGFhoZiw4YNGDJkCN9gMZMrKirC/fv30blzZ5w8eVJhwuMuXbqI3cssTVpaGs8TyOSYfSDz008/aX1hEJ4Muru747vvvhMH/TOmq5KSEjg4mP3hYRJ5eXm4ffs2fH19ERcXB39/f5w/fx4jR47EsWPHAIADGSsmDBB++PChxUxkaQyvvvoqkpKSLPYGkVmPiIgIJCcnw8fHR+WEx5bq9u3b6Nevn6mrwcyI2d+peXt7awxk7OzsUKVKFfj4+KBHjx4YMWKEySfw27RpE5YsWYIrV66gZs2aGDVqFObMmQNHR0edyyopKcGqVavw008/4fLly3ByckKbNm0wefJkDBo0SOP2a9asweTJkxXel0gkOHPmjM11BdGkoKAAzs7Opq6GWSo7P8GBAwcQEhKChIQEpKeny81PYMkXS6YoJSUFEydORElJCYCX3wVLmsjS0GrWrAkXFxfcuXMHnp6epq4Os1ETJ07E+++/Dx8fHwCqJzy2RCUlJbC3tzd1NZi5IaZXUqmU3nvvPXJzc6NNmzZRSUkJXbx4kXx8fKhbt26Um5urU3mFhYUUERFBAJS+xo0bp3b74uJiatiwodJt//Of/+j8+bKzswkAZWdn67ytpTh06BC9ePHC1NUwS0uXLiUAlJKSQpGRkQSAnJycCADFxsZScnIyAaClS5eauqpMT/766y8KDAykV199lQoKCiguLk48h4wfP54CAwMJAAUGBtL48ePFZXFxcaauukls2LCBpFKpqavBbNC6detoxowZpq6GwRw+fNiq7z30zRbu14iIzL5FxtJ8/vnn+OGHH7BkyRKxtaR58+b46aef0KNHD0yaNAk//fST1uUtXLgQf//9N2JjY9G7d2+4u7sjPj4eUVFRePbsGdatW4eAgACVfdLj4uLQunVr7N+/X2EZpy98mUo2KytL7r2zZ8/C3d0dAFC7dm1+uiqj7PwE//3vf8XWF2uZn8Ca6TKR5Z9//ompU6eiXr16OHHihNhKackTWRqDv78/Vq9eLTcuQRafU5ghXLx4EZs2bUJ8fLypq6IXyq7Np0+fRpUqVQDwccT+R0L0/weWWIAHDx7g8ePHeP78Odzd3VGzZk2zuhm/e/eumJc9KytLPOAEgYGBOHfuHI4cOYLu3btrLK+wsBDNmjXD9u3b0bp1a7llZ86cQefOnZGfnw9PT09kZGQobC+VStGyZUv88ssv6NChQ/k/mIznz5+jatWqyM7OFm/2LVVhYSGaNGmCO3fuqFzHy8sLV65c4a5m/9+yZcswc+ZMpKSkiDNGOzo6ori4WG7G6KVLl1pNdwZrceTIEbz66qsaJ7L8/PPPsX79ejRo0AA7duxQOlYsJSXFYieyNCQ+pzBTKC4uRnBwMP755x+r6HrFx5F+WNP9mjpm3yKzZ88e/Pjjjzh69KhCdA4AtWrVQrdu3TB69GiTT164du1aFBYWonv37gpBDPByhvRz585h+fLlWgUyycnJmDx5skIQA7zMHvX+++9j+fLluHPnDrKyslCrVi25dbb8v/buPKyJa/0D+DdgAqLiilZlqaCoVXFDBbGuiOLS2lqX22pr7aJS9FeXW20tEMFWb7VFbUVtrdUWr4r7UkTR61LZFFFxq6wKbriAgAgJkPf3hzdzDQRkCUwS3s/z5HlCZubkHRhm5sw55z27dsHU1BSdOnWq8j4ZM5lMBmtra5iZmWHHjh2lJvabNGkSrKyseKzHC7y8vLBo0SJ88MEHSEhIgL+/P3x8fPD+++/D19cXwcHBBj0/gTGr6ESWv//+O2JjY8tNdmHoE1nWFD6nMDGMGDFCuN4bA/4/YpUiYre2cl26dImcnJzIxMSETExMSCKRlPlSr9O9e3eKj48XLebevXsTAPLy8tK6XN23XCqV0rNnz15a3t27d8sdU7N3716hP3pOTk6p5d27dycAZGJiQn379qWgoCDKz8+v+A5pYWx9LsPCwggAhYWFVehzRuTm5kYAyNHRkSIjIyknJ4ciIyOpdevWBIDc3NzEDpFp8eLYlrKOd9ThsS26wucUVpu8vLyM8n+W/4+qz9ju18qil13Ldu/ejalTp0KhUAgplevXr4/u3bujVatWaNiwIZ4+fYqMjAzEx8fj2bNnwrZmZmb497//jbfeeqtWY378+DGsrKxARFi+fDkWLlxYap0zZ87g9ddfBwBERESU2Ye6okJDQzF69GjY2tri1q1bGssOHTqEsWPHltrG3t4emzdvFuKoLGNrqiQi4e8QGRkp9P0v+Rn7H7lcjmPHjiE2NlZjHhmZTAapVIr58+djyZIlIkbItNm6dSumTJkCJycnmJubIzo6WjjeXVxcUFBQgPj4eAQHB+O9994TO1yDxecUVhO0pVHeunUrLl26hFWrVokdns7x/1H1Gdv9WplEqkCV6cyZM2Rubi60tnh6etKRI0eouLhY6/rFxcUUFhZGo0ePFrapX78+RURE1Grc586de+kTzWvXrgnrbNq0qdrfuXr1agJAX3zxRallkZGR9PPPP5Ofnx95enoKmaXw3yxT+/btq9J3GmMNv+QTHn7iUzEKhYICAwPJ29ubAgMDSaFQUGxsLI0ePVrs0JgW6haZr7/+Wuvx/uOPP3KLjI7wOYXpip+fH7m5uZGZmZlG1lGZTEaNGzcmPz8/sUOsMfx/VD3GeL+mjV5VZIqLi6lLly4kkUjI3Nyctm7dWqntt23bRmZmZiSRSKhr1661mgIzNDRUOMHs379f6zrJycnCOt9//321v3P48OFkYWFBd+/efem6N2/epHHjxgnf36BBA0pKSnrpdgUFBZSdnS280tPTje4fQ6VSkYuLC/Xr10947+LiwilUq+jXX3+l//u//xM7DFbC559/TgDoyy+/JBsbG+rTpw+pVCrq06cP2draUmxsLFdkdKTkeaRfv358TmFV8mJX3qioKMrNzaWIiIg60ZVXpVJR3759+dpcRXWlImNS0y0+lbFr1y5cu3YNEokEv/32G959991KbT958mT8/vvvAIBr165h586dldpeLpdDIpFU6fXgwQOhHAsLC63lq1Qq4X1BQUGlYivp6tWrOHbsGPz8/NC6deuXrm9nZ4e9e/fC19cXAJCXl4eAgICXbrds2TI0btxYeNnY2FQrbn0kkUggl8sRExOD+fPnIzo6WjgWWOVNnz4dJiYm+Pnnn8UOhQHYuXMnunXrhoiICABAVlYW0tPTce7cOWEiy7S0tDo7kWVNUJ9ToqOjMX/+fMTExODdd9/lcwqrlJITEIeHh6Nhw4b46aefcO/ePY0JiI2RRCLBG2+8wddmVi69GiMzZcoU/Pvf/8awYcMQHh5e5XLc3d1x4sQJTJ48GVu3bq3wdk+ePMGTJ0+q9J0xMTGYPHkyACA8PBzu7u6l1rl+/Tpee+01AMC6deswc+bMKn0XAHh4eEChUOA///lPpTOVTJ06FcHBwWjcuDEyMzNhYlJ2fVahUGiMg8jJyYGNjY3R9bnMz8+Hs7Mzrl27BhcXF+5/qwNjx47F119/jX79+okdilGozBwwABASEoJvvvkGnTt3xtatW7F9+3ZMmTIFADBjxgxERUUhPj4eTk5OcHV1FeaE4TEyukH/7c8fHR0NFxcX+Pj4oH///mjSpInYoTEDUdfT3RMRDhw4gOXLlwv/R3xtrjgeIyMCR0dHMjExqfb4kU2bNpFEIqEOHTroKLKXO378uNBt68CBA1rXiYqKEtbZuXNnlb9r48aNZGNjQ/fu3avS9nfu3KF69eoRAHrw4EGltjXWpsqTJ0/SgQMHqHv37hQeHi52OEahuLiY+vTpQ5mZmWKHYvBOnjxJUqlUo498yZdUKqWTJ0/S1q1bqVu3bvSPf/xDo4zIyEiSSCSltnnxZ4lEQpGRkSLtpfEJDw8XzikqlYq2bdsmdkjMgHh7exMAys3NJSIS/l9lMhkREeXk5BAA8vb2FjPMGhMbG0t37tzR+D9iFWes92sl6dU8MhkZGQCAjh07Vqsc9bwp6vJqQ+fOnYX3ZX3v48ePhfft2rWr0vdcuHABPj4+OHr0aJUnA23Tpg369u2LyMhISKXSKpVhbPLy8jB27Fitmd5Y1ZiYmCA8PBzDhw9HdHR0uS1/rHwVnQNmypQpGDhwIOLj40uV4erqioiICJ7Isha5u7vj4sWLws9Dhw7F8ePHMWzYMPGCYgZDPcH2lStXsHv3bhQWFkImk0GpVCIgIEDo+aFez9jcvXsXvXv3Rps2bTT+jxh7kV5VZNQzTld3kiP1zXlRUVG1Y6qo1q1bw97eHikpKUhNTdW6zs2bNwEALVq0QM+ePSv9Henp6Zg4cSJCQkLQtWvX6oQLOzs7JCUlcTcHVqMaN26Mn376CW+99Rb2798vdjgGSyKRoLi4GKmpqXj06BFGjBghLDty5Ihwzlm+fHm53cJ4IktxtWzZEubm5khLS4Otra3Y4TA9p56AeOrUqUhKShImIA4ICDD6CYgzMjLQsmVLscNgBkCvHpGqD9qSc6JUlnr7kjPd17Tx48cDAM6fP691+eXLlwE8H99S2afTjx8/xhtvvIFVq1ZhwIAB1QsUzwf8Tpw4sdrlGIPU1FS8+uqrYodhtPr27YsxY8Zg/vz5Yodi8JycnODr6yvMr0VE8PX1hZOTk8iRsYpyc3NDdHQ0iouLxQ6F6TmZTIaePXsiKSkJjo6OcHd3R25uLtzd3YUEAL179zbKGe7Pnj2Lvn37ih0GMwB6VZFRD4Q/ePBgtco5cOAAAKBLly7Vjqky5syZA5lMhtOnT2tM0ql2/PhxAIC3t3elys3KysLIkSPxxRdfYPTo0VrXOX78OB4+fFih8rKzsxEfH4+vvvqqUnEYq+vXr2t0DWS698knn0ClUmHTpk1QKpVYtWoVZs+ejVWrVhltxp2a8Mknn+Ds2bM4evQoAODo0aM4e/YsPvnkE5EjY5UxZswYHDp0SOwwmJ5TqVS4desW+vbti1u3bqF///6wtLRE//79kZaWBjc3N62JhQxdYWEh6tWrx4P6WYXoVUVm9OjRICJs27ZNaL2orPj4eGzbtg0SiaTMm/6aYm1tja+//hr5+flCGmi1sLAwJCUlYerUqaW6diQlJaF9+/ZwcHBAUlKSxrKsrCyMGDECEyZMwPDhw/Ho0SPhlZGRgb///hsrVqzAggULhBYolUqFvXv34tKlS1rjXLRoEdauXVuhtM11BZ8wa17jxo2xYMECNGrUCHPnzsVPP/2EuXPnwtLSEgMGDIBcLhc7RL0XFxeHFi1awMfHB0QEHx8f2NracncxA2NhYYH27duXm4WOMU9PT/z555+IiYlBTk4OAgMD4e3tjcDAQGRnZ+PMmTNGed48ffo0Bg4cKHYYzFCImmqghOzsbGrRogWZmJiQnZ1dhSZsfFFycjLZ2dmRRCKhFi1aiJKpobCwkMaNG0eNGzemEydOkEqlov/85z/UqlUrGjp0KOXl5ZXaZsWKFULWoJUrVwqfZ2RkkJOTU7mZitSvJUuWCNudOXNGyEA0c+ZMSktLI6Lnv585c+bQn3/+WeX9M7YsGPn5+ZwJpZaoJ3Zr3bo1/fXXX5Sbm0tRUVHk6Oho9BO7VceaNWvIxsaGANDMmTOF//m5c+cK79Wf82SWhmX//v1arwmMffjhh3U2y11ZmV9Z5Rjb/VpZ9KoiQ0T0888/k0QiIRMTE2rUqBGtXLmScnJyyt0mJyeHvv/+e7K0tBS23bBhQy1FXFpRURF9//331LFjR2rSpAn16tWLNm7cSEVFRVrXT0xMJAcHB3JwcKDExETh8+7du1eoEgOAkpOThe2Ki4vJ39+fHBwcyMzMjJo1a0aDBw+mlStXVjsVrrH9Y5w6deqlxxerPoVCQWZmZkKlZeLEiURE5O/vL8xabW5uTgqFQuRI9UdgYCB169aNZs6cScHBwcL/+owZM4QHHE5OTjRjxgxhGVdkDEtRURGFhISIHQbTM35+fvTtt9+KHYYorly5UumH2Ew7Y7tfK4teTYiptmDBAvzwww9Cd5/69evj9ddfR69evfDKK6+gYcOGePr0Ke7fv48LFy7g9OnTyM/PFwbAfv755/jhhx/E3AWjZWwTLIWGhmLUqFFih2H0tE3sVq9ePRQVFdWJid0qM5nl999/j82bN2PgwIFYu3YtACAqKgpubm548XStnhhPTSKRICIigruZGZj09HRhvANjW7ZsQXR0NNatWyd2KKI4ePAgT4OgI8Z2v1YWvUq/rLZy5UrY29tjwYIFKCgowLNnz3D06FFhgGtJ6ou7mZkZVqxYUenB9IyxmpWcnAwA6Nq1K1xcXLB06VIolUpIpVL4+PggNzdXYz1jcurUKUycOFGj0lGSVCrF9OnTERERgSFDhpQaI8hzwBgvGxsbJCUlISMjA61atRI7HCaiiIgIhISE4M8//xQ7FFE8efIEjRs3FjsMZmD0siIDPM+fPmbMGAQGBuKPP/5AZmZmmes2a9YM77//Pv7v//4PdnZ2tRglM2Q3b97k46WWvDixW3h4OJRKpTCx24wZMzBt2jSN9YxJRSezTE1NLTfJCc8BY7yGDBmCHTt2YOLEiZx4pI66e/cu5s+fj+joaLFDEU1ERAQ8PT3FDoMZGL3sWqbN1atXcenSJTx69Ai5ublo1KgRWrRoAScnp2pPDskqzpiaKkNDQ+Hp6ck3DrVAqVTC0tISdnZ2SEhIKDWxm52dHTIyMpCdnW10cyJs3boVU6ZMAfA8e2HJySxHjhwJAAgODi53Mktm3HJycvhGro5SKpVwcXFBZGQkzM3NxQ5HFCqVCocPH671bLPGzJju18qjty0yJXXp0qXW54Vhxo8rMbVDJpPB2dkZERERpSZ2Cw4ORkJCAjp06GB0lZgXqSez9PDwgEQi0ZjMMj4+XuzwmMgsLS3RqlUrJCQkwNHRUexwWA1RKpUICgpCcnIyHBwc4OXlhSFDhmDPnj11thIDAJGRkejfv7/YYTADpFfzyDBWWxQKhVHfNOsjd3d3uLm5lTmxm6mpKY4cOSJ2mDXGzc2NJ7Nk5erVqxeuXLkChUIhdihMx+RyOQYMGABLS0uNebQsLCyQnZ2NzZs3ix2iqLKystC0aVOxw2AGiCsyrE6KiYlBv379xA6jTpHL5Thz5kyZE7tdv34dy5cvN7rWiZCQEACAo6MjbG1teTJLVq6xY8fi0KFDYofBdOzYsWOIiIiAnZ0doqKikJubi59//hk2Nja4evUqjh07JnaIoklJSUG7du3EDoMZKIPpWsaYLj19+hSNGjUSO4w6SSaTlZli+fjx4+jbty8OHDiANm3a1G5gOrZo0SL8+eefaN++PQDgxo0bSEtLQ1paGubPn49z584BADZu3ChmmEzPSKVS9OjRA+fOnUOfPn3EDofpgFKpRGxsLBwdHZGQkIDw8HA0atQIcXFxuHnzJhwdHXH+/HkhCUpdc/XqVU65zKqMKzLM6KWnp+Phw4canyUlJSEuLg4A0LJlS1hbW4sRGivBxMQEZ86cgaurK86cOYMGDRqIHRKAys0Ds3DhQoSGhmL8+PG4fPkytm7din379mH9+vWYMWMGoqKiEBgYCCcnJ7i6umL9+vW1tRvMQDg4OCAqKgp5eXllDtLl85bhCAoKgkKhwJYtW4R5tAICAlBYWKgxj1ZQUJBRzqOlpu1anJ+fj9u3byMuLo6PaVYlXJFhRk2hUKB///64fft2mevY2NggMTERZmZmtRgZK4u5uTmOHj2KQYMG4ezZszAxEbcHbEXngXnrrbdw/fp1TJgwQSONsr29vTC4f8OGDcL68fHxQjc6iUQCe3v7mt0RZjAUCgW+/PJLPm8ZiRfn0bKzs4O/vz8KCwshk8mMfh4tNb4Ws5rCFRlm1GQyGaytrWFmZoYdO3aUmsNj0qRJsLKyqpPN+frMysoKf/zxBwYPHozTp0+LGktF54EhIq3je3gyS1ZZfN4yLur5sc6cOYPff/8dRUVFwjxaAQEBcHd311jPGPExzWoMMVYJ2dnZBICys7PFDqXCwsLCCACFhYVV6HOmP44dO0ZjxowRNYbg4GACUO4xBICCg4NFipAZIz5vGQ+FQkEymYzatGlDAMjf35+IiPz9/QkAOTo6krm5OSkUCpEjrVl8TNcuQ7xfqwqDmRCT6QdDnGCJiIT89JGRkUI3n5KfMf20detWhIeHY/PmzVrnYKjpJ3jqCS2dnJxgbm6O6Oho4RhycXFBQUEB4uPjeUJLplN83jIeycnJ6NGjB54+fQpHR0ds3rwZXbt2xZUrVzBt2jQkJCTAzc0NZ86cETvUGsXHdO0yxPu1quD0y8zoSSQSyOVyREdHa8zhER0dDblczidOPffee+/h3r17aNu2bak5GCwtLTFgwADI5fIaj6NXr148DwyrNXzeMg53797FhAkT8Pnnn5c7j5a6e5kx42Oa1QRukWGVYqg1fPVTHyJCVFQUPwEyMAMGDBDmYNi+fbvwNPODDz6o8aeZQ4cOxYkTJ/DLL78gICAArVq1EuYhysjIwJ49e+Ds7MwtMkznSj6tdnV1hUQi4fOWgcjMzMSwYcMQFRUFc3NzABClVVmf8LW49hjq/Vpl8WB/VieonwSNHDkS8+fPR3R0NMLCwvjEaQBKzsGwY8cOuLi4IDw8HAkJCTU2B8Mnn3yCs2fPokePHgCA8+fP8zwwrFaVPG/FxMRgy5YtfN4yAHl5eRg6dChOnz4tVGKA8ufRqgskEgk+/fRTTJ8+na/FTCe4IlNDQkJCsHLlSiQmJqJ58+aYNm0aFi5cCKlUWuUyQ0NDMXr0aK3LDhw4oHVCqfz8fKxevRq//fYbMjIy0KFDByxYsACTJk2qchyGql+/fujatSsCAwPh4uICDw8PsUNiFaBtDoagoCAolcoKz8FQmXlgpk+fjvPnz2PWrFn45ZdfsHXrVvz+++88DwwThYeHB1xcXITzloWFBRQKBaeo1WNKpRKvv/46wsPDjfpJeFU1bdpU45jmazGrltrPL2DcVCoVTZ8+nSwsLCgkJISKioro+vXr1K5dO3r99dcpLy+vymX3799fyJD04qt79+5a18/MzKTevXuTg4MDxcXFkUqlooMHD5JMJqP58+dXKQZDzoIRHh5OoaGh1L17dwoPDxc7HFZB3t7eBIByc3OJiEgmkxEAkslkRESUk5NDAMjb21vr9idPniSpVKr1f0f9kkqlNGLECOrWrRv98ssvGttHRkaSRCIptf6LP0skEoqMjKzZXwSrs8LDw4XzVmFhIe3YsUPskFgZioqKqHfv3nTr1i2xQ9FLSUlJFB8fr3FMs5phyPdrlcEtMjq2fPlybNq0CStXrsSECRMAAJ06dcLmzZsxaNAgeHl5YfPmzZUu9+TJk1Aqlbh+/XqpZc2bN9e6zeTJk3H+/HmcO3cOPXv2BACMGTMGixcvhp+fH7p27Ypp06ZVOhZDVVhYCE9PT3h6eoodCqsE9dwKV65cQXh4uNCFTKlU4p///CfefvttjfVKqug8MNbW1ggLCyu1Pc8Dw8Tm7u6OixcvCj+//vrrOHHiBIYMGSJeUKwUlUqFAQMGIDg4GLa2tmKHo5euXLmCN998E926ddM4phmrMrFrUsbk9u3bZGZmRmZmZpSTk1Nqebdu3QgAnTp1qtJlu7u7U0hISIXX37VrFwGg/v37l1qWkZFBpqam1KxZM8rKyqpUHIZcww8NDRU7BFYFCoWCzMzMyNHRUescDPb29uXOwcDzwDBjdPbsWbpx44bYYbAXDB48mGJjY8UOQ28lJydTfHy82GHUGYZ8v1YZnH5ZhzZs2ACFQoF+/fqhUaNGpZaPGDECALB69epKlXv27FlcuHABgwcPrvA26u/QltKxZcuW6NmzJzIzM/HHH39UKhZDdfv2bbRt21bsMFgVyGQyODs7CwP73d3dkZubC3d3dzg6OiIlJQXt2rV76UB/Jycn+Pr6gv6bqJGI4OvrCycnp9rYDcZ0qk+fPrh+/Try8vLEDqXOUSqVWLVqFWbPno1Vq1ZBqVTC09MTcrkcvXv3Fjs8vXX58mV069ZN7DCYkeGKjA6FhoYCALp27ap1uTr70cGDB5Gfn1/hcr/55hs8fvwYLVu2RLdu3fDdd98hOzu7zPWzs7MRFRVVoVh27NhR4TgM2ZUrV8r8XTD95+7uXu4cDMXFxdi7d2+5Zbz22ms8DwwzKmPHjsXBgweFyjmrWXK5HAMGDCg1n5WFhQXS0tJw4sQJsUPUW+oHTozpGldkdOTx48eIi4sDgDL7xtrZ2QF4PlbjwoULFSr38uXLOHjwoPDzlStXsHDhQjg6OpZ543b8+HEUFRVVKJa4uDgUFxdXKBZDRkQwMeHD3VDJ5XKcOXMGOTk5CAwMhLe3NwIDA5GdnY0zZ87gxo0b2Lx5M3bv3q2xXXFxsdA6+cYbb8DW1hY+Pj4gIvj4+MDW1pbHtjCDZWJiguHDh+PIkSNih1InHDt2TJjPKioqCrm5uVi9ejVsbW1x7do1HDt2TOwQ9dbly5e59ZvVCB7sryOpqanCUzFra2ut67w4KP/GjRvCRFAv88svv+DevXuIi4vD0aNHkZeXhwcPHmD8+PH46aef4OXlpbH+i4OSXxZLfn4+0tLSjPpJCT+tNB7lzcGwf/9+vPXWW1CpVHj77bcxYcIEJCUlYciQITh37hxOnz7N88Awo9O8eXO0adOGW51rWMn5rMLDw6FQKJCSkoLU1NQam8/KGHBrDKtJXJHRkYcPHwrvtY2PAaCR9z8rK6tC5Xbr1k2jT+mjR4+waNEibNq0CUSEOXPmoEePHhqVoqrEUtZJRqFQQKFQCD/n5ORUKG59cu3aNbz22mtih8GqoaLzwOzatQtt2rTBvHnz8NNPP+HNN9/E1q1bAYDngWFGy8nJCaGhoWjbti2aNm0qdjhGSdt8VlKpFIWFhRWez6quunz5sjBPF2O6xhWZF8jlcixZsqRK276YUtnCwkLrOiqVSnhfUFBQpe9p0aIFNm7ciP79++Ojjz5CcXExvvrqK5w8eVJYJzMzU2exLFu2rMq/E31x69YtjBo1SuwwWBWdOnUKEydORGFhYZnrSKVS9O3bF7m5udi8eTN+/fVXYRyavb09JBIJiAgbNmwQ1o+Pj0d8fDyA57NN29vb1/zOMFZDPD09sW3bNkyePJm70daA5ORkAM/Hnebn5wuVGJlMBh8fH+Tm5mqsx55LSUnBq6++KnYYzIhxReYFn3/+eZXnVYmJiXnpOi/eiDVr1qxK36M2ffp0pKSk4JtvvsHp06fx6NEjtGjRAgAq1Kxd0Vi+/PJLzJs3T/g5JycHNjY21Yicscqp6Dwwrq6uWLFiBYDnN3UTJkyASqXCu+++y/PAMKMnkUgwduxYHDp0CG+88YbY4Rgd9TxVGzduRFpamlCJUSqVCAgIEDKEljWfVV0VHx+PcePGiR0GM2JckXlBkyZN0KRJkypt++JNUlkZyV7MNKaudFTH4sWLsX79ejx+/BipqalCmS+OxcnPz9favayisZiZmWl0QzM0hYWFqFePD3NDJpFIUFxcjNTUVDx69EhIYw4AR44cQWpqKoD/ZeJT27lzJyZOnIji4mJMnToVrq6uUCqVCAoKQnJyMhwcHODl5cX92ZnRaNSokTBWg9MA65aXlxcWLFiAH3/8ESkpKfD394ePjw8CAgLg6+uL4OBgmJublxqzWpelpqby2BhW47j9WUc6d+4svM/IyNC6zuPHj4X3uvjnrl+/vnBTJ5VKqxSLpaVltVuH9FlsbCycnZ3FDoPpQFXmgQkJCcGff/6Jt956S2vaVEtLSwwYMAByubyW9oKxmtWpUydkZWXh/v37YodiNFQqFQYPHozXXnsNKSkpWuezSkhIQO/evfnByAsuXbqE7t27ix0GM3JckdGR1q1bC33s1U+IS7p58yaA5y0gPXv21Mn32tnZQSqVavTvHzBggPD+ZbEMGzbMqPtTZ2VlGXVFrS5p3759leaB2b59O/76669SaVOjoqJgZ2eHiIgITpvKjIq7uztOnjxZJ1Lr1zSlUom+ffvil19+wdtvv13ufFbaJqCuq1JTU3lsDKsVxnsHK4Lx48cDAM6fP691+eXLlwEAHh4eOqs8ZGVlYcSIEbC0tBQ+s7GxQZ8+fSoUi6enp07iYKwmKBQKLF++HAAwbdq0Ks0Do1Qq8fTpU1hbWwtpUxs2bIjw8HAkJCRopE1lzFiMGzcO+/fvFzsMg5adnY2+ffti79696NKly0vns+KW3f+5dOlSqe6+jNUEHjygQ3PmzMHq1atx+vRpPHv2rFTGsOPHjwMAvL29dfJ9xcXFOH78OEJCQkotW7BgASZNmoTDhw9j0aJFGsvS0tKQkJCAZs2a4R//+IdOYtEH6enpGqmn8/LycPfuXWGi0pYtW5Y5rw6reRVNoQw8z6Q3ZswYPHr0COPHj8eVK1cQGhpapXlg1GlTd+7ciQ0bNsDX1xdLly6FUqnktKnMaJmbm6NVq1b47bffyuzew+fEst29exejRo3CiRMnSqW0Lm8+q7qm5HUXeP67y8/PR1xcHB9jrOYR0yl/f38CQOvWrdP4/PDhwwSApk6dWmqbxMREcnBwIHt7e0pMTNRYFhYWRmfOnNH6XUuXLqU1a9ZoXaZSqWjYsGFkYmJCV69e1Vi2cOFCAkC//vprZXaNiIiys7MJAGVnZ1d625pUUFBA1tbWBKDMl42NDRUUFIgdap108uRJkkql5f59pFIpHTlyhIYMGULdu3ens2fPEhFRcHCwsM6MGTPIycmJAJCTkxPNmDFDWBYcHKz1u729vQkA5ebmEhEJcchkMiIiysnJIQDk7e1dO78MxmoBnxOr7saNG9SrVy/Kz88XOxS9xseYftPX+zVd4xYZHfvyyy8RFxeHRYsWoVOnThg0aBBOnjyJadOmYejQoVon39u3b5+Qe37//v2YP38+AODOnTsYOXIkAGDChAnw9/dHp06dcO/ePaxduxbt27cvM120RCLB77//jiFDhuC9997Dnj17YG1tjV9//RUrVqzAwoULMX369Jr5JYhAJpPB2toaZmZm2LFjR6kUvZMmTYKVlRUPxBRJRVMof/TRR9i7d69GgobqzgOjTod65coVhIeHo7CwEFKplNOmMqPG58SqiYmJwdy5c3H27FmYmpqKHY5e42OM6QVRq1FGqqioiL7//nvq2LEjNWnShHr16kUbN26koqIireurW2QcHBxKtcisW7eOXnvtNbKwsCBLS0tydXWlJUuW0J07dyoUy6NHj2j27NnUtm1batGiBbm7u9OJEyeqvG/6XMMPCwsjABQWFlahz1ntebFVpay/D8ppVYmMjKTg4OAyX5GRkWV+t0KhIDMzM3J0dCQA5O/vT0REc+bMIQDk6OhI5ubmpFAodLfDjOkBPidWzuHDh2nYsGFUXFwsdigGg48x/aXP92u6JCH6by5TxiogJycHjRs3RnZ2tkaCAX1AROjfvz8AIDIyUniKX/IzVvu2bt2KKVOmwMnJCebm5oiOjhb+Pi4uLigoKEB8fDyCg4Px3nvv6fz7BwwYgIiICDg6OmLz5s3o2rUrrly5gilTpiAlJQX9+/dHRESEzr+XMTHxOVE7bfNJ7dmzB9u2beMECZXEx5j+0uf7NV3irGXMaEgkEsjlckRHR2uk6I2OjoZcLueTqR6YNm1alVIoV5e7u7vWtKl3795Fr169kJKSojFJLGPGgM+JmuRyudb5pBo2bIjZs2frbFqEuoSPMSY2bpFhlaLvNXz1kyAiQlRUFD8V0hM///wzZsyYgenTp+PIkSNo06YNYmJi0K9fP2RkZGDPnj1wdnausRYZNW1PYmUyGbKysjBs2DBs374djo6ONfb9jNW2kk/HXV1doVQqcf78+Tp3TnyxZXbLli3o2rUr9u3bh6+++grp6elwc3PDmTNnxA7T4BARnJyc0LBhQ0RGRvJ1V0/o+/2arvBgf2ZU1E+HRo4cifnz5yM6OhphYWF8MtWhyqRRfvLkCUaPHo27d+8CeD449M6dO7hz506lUijrSllpU5s2bYpz585hyJAhWLx4MUaMGFEr8TBW00qeE2NiYuDr64snT56USitszJRKJWJjY+Ho6CjMJ1WvXj389ddfSE9P15hPigenV05+fj4mTJgAPz8/vu6y2ifCuBxmwAxh8Njt27eFFL0uLi6kUqnEDsloVDSN8v79+8nFxYV69epFN27cqHYK5dr09ttv0/r168UOgzGdUalU5OLiIpwTi4uLaevWrXUqwUVgYCABoKioKGGaBPW5zN/fnyIjIwkABQYGih2qwdmzZw8plUqNY4yvu+IzhPs1XeAxMszoXL58Gd999x26d++OgIAAfiqkQy+mUY6NjcX58+eFV2xsLNq1aweVSoU5c+YgODgY58+fh6Ojo5BCGQA2bNiA+Ph4IYWyOqVyeSmUa9Pu3btx+fJlfP3112KHwphOSCQSBAQECOdEExMTTJgwAbt27QLVkd7l6ikOunTpgq5du0Imk6GwsBAymQw+Pj7o2rWrxnqsYhITE2Fvbw+pVKpxjPF1l9UW7lrGjI5KpcKoUaO4e1ANkEgkKC4uRmpqKh49eqTxOz5y5AhSU1MBAN98843GvCyurq6IiIhASkpKmWXb29vD1dW15oKvhJ9++gnLly/H9OnTsWnTJuHzssbYMKbv3N3dcfHiReFnqVSK0aNHY//+/Rg3bpxocdUW9fnohx9+QGFhodCFjOeTqjoiwqVLl/DOO+8AKH2MMVYbeLA/qxRDGDx2+PBheHp6ih2GURI7jXJt2759O7Zs2YK+ffvi+PHjiI2NhUKhEJabmZnB2dkZ7u7ukMvl4gXKWBWlp6cjMTERQ4cOFTuUGrVr1y5MnjwZDg4OSEhIgL+/P3x8fBAQEABfX184OjoiLS0N2dnZ/HCigo4dOwZnZ2c0adJE7FCYFoZwv6YL3LWMGZW7d++idevWYodh9KZOnSpKGuXaNnnyZPj5+eGHH35AREQE7OzsEBUVhdzcXERFRcHOzg4RERE4duyY2KEyViU2NjZo2bIlYmNjxQ6lxvj7++PAgQNwcXFBQkICHB0d4e7ujtzcXLi7uwsJAHr37s2VmArKysoCAK7EMNFxRYYZlcuXL8PJyUnsMIzW48ePAQBJSUmwtraGj48PiAg+Pj6wtbXVm65hutSrVy8olUq88sorQrajhg0bIjw8XLgpUmc7YswQde3aFQUFBUhKShI7FJ2bPHkypFIpfv/99zLnk0pLS4Obm5vQvYy93PHjxzFs2DCxw2CMx8gw41JcXAwTE66fV0Rl0ijfunUL77zzDjIzMwE8Hytz+/Zt3L59W5Q0yrUpKCgISqUSu3btwpo1a+Dr64ulS5dCqVTC398f7u7u6N+/P4KCgrSmdmbMEAwYMAChoaFo3LgxrKysxA6n2vLz8zF06FD4+flh5MiRAJ5PiCmXy3msWzVdunQJTk5OPKCf6QWuyDBWB506dQoTJ05EYWFhmetIpVJs2bIFK1euhFQqxaFDh3Ds2DFMmTIF69evx4wZMxAVFYXAwEA4OTnB1dUV69evr8W9qB3qLEbdu3fH9u3bsWfPHmGgsI+PD3JzczXWY8xQjRo1CiEhIRg7dizq168vdjhVdvXqVUydOhWHDh1CmzZtSi0vaz4p9nLFxcVITk7G22+/LXYojAHgigwzInfu3NF60WKlvZhGeefOnRpP1ogIEyZMQFpaGr7++mvExMSgRYsWACCkUSYiIW2yOo1yfHw8AP1Jo6wr6ixGV65cQXh4OIqKiiCVSjnbETNK48ePx7Zt2/Duu+8aZOv2H3/8gT/++AOxsbEGGb++CwsLE1q4GNMHnLWMVYo+Z8EICwuDh4cHX7wqQJ19DHj+eyuZRll9odKWfSwqKspg0ijrglKphKWlJezs7DSyHX3xxRdYsWIFOnTogPT0dM52xIxGXl4eQkNDMWHCBLFD0aqsrmH//Oc/kZeXh6CgILFDNEr37t1DcnIyBgwYIHYorAL0+X5Nl7hFhhkNIuJKTCU5OTnB19cXHh4eQkuLr68vnJychBaWklxdXY2qovIyMpkMzs7OiIiI0Mh29NZbb2Hfvn1ITEyEo6MjV2KY0WjQoAFef/11HDlyRK/m45LL5Th27FipNOgLFy5EgwYN4OLigtDQUBEjNG4RERHCnDGM6Qu+62OsDps8eXKdSKNcXWVlO0pPT4ebmxssLS3x2WefiR0mYzrzyiuv4NVXX0VUVJTYoQiOHTtWKg366dOn0bx5c2RlZSEnJ0fsEI1WdHQ0+vXrJ3YYjJXCLTI1JCQkBCtXrkRiYiKaN2+OadOmYeHChZBKpZUqp7CwELa2trh///5L183IyEDLli1LfR4UFKT1JksikeDixYsGma44PT0dDx8+FH5+8OABsrOzERcXBwBo2bIlrK2txQpPFJXJQpaWlgbg+bgiGxsb+Pj4wMPDw6jTKFdHRbIdbd++Ha+//jrCwsLQoEEDkSNmrPo6duyIs2fP4vjx42jatGmZ69XG+VapVCI2NlaY8yU8PBzt27fHjz/+iHv37mmkQefW0aopeV1VUygUiImJ4dYYpp+I6ZRKpaLp06eThYUFhYSEUFFREV2/fp3atWtHr7/+OuXl5VWqvJCQEALw0lefPn20bl9YWEh2dnZat3njjTcqvX/Z2dkEgLKzsyu9ra4UFBSQtbV1ub8PGxsbKigoEC3G2nby5EmSSqXl/k6kUin9/PPP1L17d+rUqRMBoJkzZwrL586dK7xXfx4cHCz2rhmU+/fvU79+/ejYsWNih8KYThQUFFDLli1FP98GBgYSAIqKiiJ/f38CQPXq1SMA5O/vT5GRkQSAAgMDazQOY8XXVeOjD/drtYFbZHRs+fLl2LRpE1auXCkMlOzUqRM2b96MQYMGwcvLC5s3b65weevXr4eHhwc+++wz2NnZwczMTGN5UlISxo4dW+aTkuDgYPTo0QNhYWGllr3yyisV3zE9IpPJYG1tDTMzM+zYsaNUxq1JkybBysqqTj2Vq2gWsh9++AGxsbHYt29fnUujXBtatWqF6OhovPvuuzhx4gSWLl0qdkiMVYtMJoO9vT0aNmyIkJAQ0c636vTmXbp0QWZmJqRSKQoLCzkNuo7wdZUZLHHrUcbl9u3bZGZmRmZmZpSTk1Nqebdu3QgAnTp1qkLl3bhxgz766CNSqVRlrrNs2TICQCkpKaWWFRcXU8eOHens2bMV34mX0JcaflhYGAGgsLCwCn1u7IKDg4WnZmX9TvBCC0tkZCRJJJJSLTYv/iyRSCgyMlKM3TEKP/30Ew0fPpyKioqEzxQKBQUGBpK3tzcFBgaSQqEQMULGKkYfzrfqFpmAgABavHgxASCZTMYtMjqkD39npjv6cr9W0zj9sg75+voiICAAAwcOxKlTp0ot/+c//4mVK1fi7bffxu7du19a3tWrV9GuXTtYWFiUuY6zszMAIDY2ttSykJAQLFmyBNHR0WjUqFEl9qRs+pLOj4jQv39/AEBkZKSQcavkZ3WFOp2yk5MTzM3NER0dLfxOXFxcUFBQgPj4eI10ynUtjbIYEhIS8I9//AN9+/bF5cuXS2VbMjMzg7OzM9zd3SGXy8ULlLFy6MP5dsaMGdi0aRPs7e010qAHBATA19cXjo6OSEtL4zTo1aAPf2emO/pyv1bjRKtCGaHevXsTAPLy8tK6XP3UXCqV0rNnz6r9fampqQSAli9frnV59+7dCQCZmJhQ3759KSgoiPLz86v1nfpUwy/5lKguPzVSH1tLlizR+jv58ccfecyLSIqLi6lp06YEgBwdHSkqKopyc3MpKiqKHB0dCQC5ubmJHSZj5RLrfHvr1i3q168f7dmzh9zc3IT/o8jISMrJyaHIyEj+P9Ihvq4aD326X6tJPEZGRx4/fixkzLK1tdW6jp2dHYDnmcguXLggPOWoqj179gCA1vExhw4dwqVLlwAAKpUKZ8+exdmzZ7Fy5Ups3rwZr7/+erW+Wx94eHjAxcUFfn5+8PDwgFwuh4uLCzw8PMQOTScqk4Xs77//BgA8efKEs5DpmaKiIjx79kyYUPPo0aNwcXFBeHg4EhISONsSMwjq861cLoeHhwf8/Pxq/Hy7cuVKHDlyBCdPnoS5ublwTYuNjdW4fpqbm8PNzQ3u7u41Fktd4eHhgb59+xrtdZUZIbFrUsbi3LlzpcYhlHTt2jVhnU2bNlX7O11dXalnz55al0VGRtLPP/9Mfn5+5OnpKfQlxn/7Fe/bt69K36lvNXz10yJ1xi1jeWpU0Sxk33//PXXr1k0Yf8VZyPTPi9mWFi1axH37mcEqeb5duHChxhgwXVEoFDR8+HD67rvvylzOY81qhkqlooULFxrldbWu0bf7tZrCFRkdCQ0NFW4a9+/fr3Wd5ORkYZ3vv/++Wt93584dkkgk9O2331Zo/Zs3b9K4ceOE72/QoAElJSW9dLuCggLKzs4WXunp6Xr1j/Hw4UPhJt7FxaXcxAiG5I8//iBTU1Nq164dxcbG0vnz54VXbGwstWvXjkxNTcnJyYkKCws1BvvPmDGDnJycCAA5OTnRjBkzXlrJZjXH29ubAFBubi4RkVCJkUqlRESUk5NDAMjb21vMMBl7KZVKRS4uLsL5Ni8vj4KDg0mpVOrsO/bv30/9+vWj1NRUnZXJKu7gwYOUmZmp8Xc2lutqXVNXKjImum7hMWRyuRwSiaRKrwcPHgjllDU4X6VSCe8LCgqqFeuePXuEtLoVYWdnh71798LX1xcAkJeXh4CAgJdut2zZMjRu3Fh42djYVCtuXbt48SL+9a9/oXv37ggICDCagYgSiQTFxcVITU3Fo0eP0KtXL+H16NEjpKamori4GF988QXq1asHe3t7Yd83bNiA+Ph4SKVSxMfHY8OGDUKZ9vb2Yu5WneTg4AAAuHLlCgICAoQuZIWFhZg8eTJiYmI01mNMX0kkEgQEBAjnWwsLC7zzzjsICQmBUqmsUBlKpRKrVq3C7NmzsWrVKo3tpk2bhkOHDiE6OhqvvvpqDe0FK8u5c+fQoUMHNG3aVOPvbCzXVWacOGvZC548eYInT55UaduYmBhMnjwZABAeHq61r+7169fx2muvAQDWrVuHmTNnVjnWwYMH48mTJ7h48WKlt506dSqCg4PRuHFjZGZmwsSk7PqsQqHQyLKUk5MDGxsbvcmCcfjwYXh6eoodhs5xFjLjoVQqYWlpKYyRKZltqW3btsjIyEBeXh6PkWEGqbCwECEhIXj77bdRv359revI5XIcO3ZMa+a+Ll264P79+9iyZQuPcxFJWloabt68iYEDB4odCtORupK1jAf7v6BJkyZo0qRJlbZ98QYyPz9f6zrZ2dnC+xYtWlTpewDgwYMH+Ouvv+Dv71+l7f/1r39h+/btyM7OxuPHj2FlZVXmumZmZqUm4WRVV5kB/ADwxhtvYOnSpTh69ChGjBiBo0eP4uzZs/jxxx8xe/ZsjW1dXV25oqKHZDIZnJ2dERERAUdHR7i7uyM3Nxfu7u4IDg5GQkICOnfujIEDB2LVqlVwcXERO2TGKkUqlWLy5MnYsWMH3nzzTTRo0KDUOseOHRP+B7Zs2YKuXbviypUrmDx5MuLi4tC/f3+uxIjk2bNnOHfuHMaPHy92KIxVGldkdKRz587C+4yMDK3rPH78WHjfrl27Kn/Xvn37oFKpKtytrKQ2bdqgb9++iIyMhFQqrXIcYnv69KnWC6a+OnXqFCZOnIjCwsIy15FKpQgPDxfmBSosLOQsZEZAfYNWXrYlX19fvP/++/jpp5/w+++/l9tSypi+MTU1FSozo0eP1ngCrFQqERsbC0dHRyQkJCA8PBzOzs5YvXo1bt26BUdHR8TFxXHmPhEQEfbv34+JEyeKHQpjVcIVGR1p3bo17O3tkZKSgtTUVK3r3Lx5E8Dz1piePXtW+bt27doFJycnODo6VrkMOzs7JCUlVbkFSh+cP39emBDUEKSnp0OlUqFdu3bYuXOnRr9j9XintLQ0vPvuu2jTpg2A56146enpSE9Px/z583Hu3DkAwMaNG0XZB1Y1crkccrkcSqUSQUFBSE5OhoODA7y8vDRu3IKDgxEVFYUBAwbAx8fHKLtNMuNlYmKCyZMnY+fOnXB3d0ezZs0AAEFBQVAoFNiyZQvCw8Ph6+sLf39/FBUVwd/fH+7u7ujfvz+CgoLw+eefi7sTdUxoaChGjhwJU1NTsUNhrEq4IqND48ePx4oVK3D+/Hmtyy9fvgzgeZ72qj5tzczMxIkTJ4RB+1WVlZVl8E9gnj17ZlAtMiUH8I8YMUJYduTIEaECvHz5cpiYmGDKlClYv349ZsyYgaioKAQGBsLJyQmurq5Yv369WLvBqkEmk730Rs3V1RWRkZH47LPP8Msvv2Dnzp0aNxkvqwwxJiaJRIIJEyZgz549GDhwIKysrJCcnAzg+QO0Ll26QCqVorCwEDKZDD4+PsjNzQUAYT1WO2JjY+Hg4ICmTZuKHQpjVcYVGR2aM2cOVq9ejdOnT+PZs2elspcdP34cAODt7V3l7zhw4ACKioqq3K0MeP6UPz4+Hps2bapyGazqnJyc4OvrCw8PD2EAv4+PD7p164bLly/DxMREyEJGRELWMXUWsvj4eACchczYrV27FtevX8egQYPg5eWFhIQErYOlFy1aBGdnZ7i7u0Mul4sXMGP/JZFIMH78eOzfvx99+/YVMpDt2LEDOTk5QiVGqVQiICBA6HrJmftqT3p6OvLy8gyqVwNj2nBFRoesra3x9ddfw9fXF7///rtGVrKwsDAkJSVh6tSppcY3JCUlYeTIkSAiHDlyBO3bty/zO3bt2oWuXbuiU6dOZa6jUqmwf/9+2Nvbo3v37qWWL1q0CGvXrkXr1q2rsJfiSE9Px8OHD4WfCwsLcfPmTcTFxQEAWrZsCWtra7HCq9AgfrVPPvkEs2fP1hjAf+7cOY0B/K6uroiIiOAsZHVc586dcebMGXz55ZdYv349njx5Umqw9AcffICIiAgA4IoM0ytvvvkmPvroIyEdfGBgINLS0jBz5kx88skn+OWXX+Dr64uNGzfCzMwMXl5eYodsNEpeM19UUFCAK1eu4NNPP63lqBirAaLNYGOkCgsLady4cdS4cWM6ceIEqVQq+s9//kOtWrWioUOHUl5eXqltVqxYIUxYuHLlyjLLzs7OJplMRkuWLCk3hjNnzhAAkkgkNHPmTEpLSyOi5xNyzpkzh/78888q758YEywVFBSQtbV1ubPc29jYUEFBQa3F9KKTJ0+SVCotNz6pVEqLFy8mAPTBBx9Q8+bNqU+fPqRSqahPnz5ka2tLsbGxPGkl00qhUJBMJqM2bdoQAPL39yciIn9/fwJAjo6OZG5uzjOcM70RExNDAwYMoJ9++on2799PFhYW5Z4jGzRoINo53Njo+zWT1Y66MiEmt8joWL169bBr1y6sXr0aM2fOREZGBuzt7fHNN99g2rRpWgfUjRs3Thjz8GLq3ZIOHToEpVKJd955p9wYXF1d4e/vjy1btuC3335DSEgInJycMGbMGMjlcoPrDyuTyWBtbQ0zMzPs2LGj1CD5SZMmwcrKSrRxAhUdxL927VoAQP369fH48WM8fvyYB/CzCgkKCoJSqcTu3bvxxx9/wNfXF0uXLoVSqeTB0kyv5OfnY9KkSWjWrBlOnToFExMTEBEaNmyIVq1alXmOLCoq4rFeOqLv10zGdErUahQzOGLV8MPCwggAhYWFVejz2hQcHCw85SorPgA0a9Ys4f2MGTPIycmJAJCTkxPNmDFDWMYtMqwkb29vAkC5ublERCSTyYSWvqKiIsrJySEA5O3tLXKkzJgpFAoKDAwkb29vCgwMLNUCuHjxYho6dKjQC+BF+nwON0b8+2Z1pUVGQkRUu1UnZsjEmimWiIT5NyIjI4WB8CU/E8PWrVsxZcoUODk5wdzcHNHR0UJ8Li4uKCgoQHx8PPz8/ODv748X/+XU2XvUJBIJIiIieOwL07Bq1SrMnTsXUVFRQvpa9WDpf/zjHxgwYAA+++wzBAYGcosM0zm5XK410YSZmRmcnZ1hZ2eH9PR0eHl5YfLkyVrLUJ+viQhRUVF6dQ43Rvp8zWS1Q6z7tdrGXcuYQZBIJJDL5Rg5cqTGIPno6GiEhYXV2Am5uoP4z549Kwzi79ChAw/gZ1Xi5eWFRYsW4YMPPkBCQgL8/f3h4+ODgIAA+Pr64uzZs6hXrx7S0tLEDpUZoWPHjiEiIqJUoon3339fOKfdvXu33DLEOofXVfz7ZnWGSC1BzECJ2VSpUqnIxcWF+vXrJ7x3cXEhlUpVI99X2UH806ZNIysrKx7Ez2qEm5ubMLA/MjKScnJyKDIykhwdHQkAubm50YEDB2jw4MG0fPlyscNlRkKhUJCZmZlwnKkTTXz88ccEgDp06FDhRBMlz9v9+vUTzudM91QqFfXs2bPWrplMv9SVrmVVm5WRMRGonzDFxMRg/vz5iI6Ohlwur7EnSy8O4o+NjcX58+eFV2xsLNq1aweVSiUM4jc3N8fDhw9x7tw5YRB/WloaD+JnOuHu7g43NzfcunUL/fv3h6WlJfr374+0tDS4ubnB3d0dY8eOxYkTJ9C8eXMMGTIEv/32m9aylEolVq1ahdmzZ2PVqlVQKpW1vDfMUAQFBUGhUGDLli3w9/eHr68vpFIpNm7cKCSVKSgoQFBQ0EvLUp/Do6OjMX/+fMTExGD48OHCZMBMt+Lj4/Hee+/V2jWTMVGIXZNihkXsGr5KpaLOnTsTgBp/ssSD+Jk+etmA6xctW7aMBg8eTAcPHiQiIj8/P3JzcyMzMzONlkUzMzNyc3MjPz+/WtoLZijUiSYiIyPpwIEDQiu1TCYjIqp0ogl1y8CL5/Do6Gg6duxYTe5GnfPXX39RXFyc1t83qxvEvl+rLTxGhhmUO3fu4PPPP0dQUBACAgKq/WSpvDEwly5dAgA4OTnB19cXHh4ewoBJX19fODk5IT4+Hi1bthQ+37BhA4Dng/jj4+MRHx8P4PmTSHt7+2rFyhjwPLVqRQf0L1q0CIsWLcI///lPfP/998jMzER8fDxPqskqRKVS4cKFCwCA+/fv48qVKygsLBQSTQQEBMDd3R0A4ODgUKEyJRIJAgICsGDBAuEc3q9fPzx48AA7duzAqFGj0KhRoxrbp7ogNDQUHTt2FP4mJX/fjBkTzlrGKkXsLBhHjhyBu7u71vl4KuvUqVMYPny4RtawkqRSKb788kv4+/sjLCwMI0aMwJEjRzBy5EhhEH9wcDDs7e15ED/TawUFBWjUqBFatmyJu3fvlkoY4OjoiLS0NGRnZ/P8EnVcfn4+PvroI2RmZmLhwoXw9PSEnZ2d1kQTujxuVCoVQkND8eqrr6Jr16462pu6Q6VSYffu3Rg0aBBatmwpdjhMZGLfr9UWbpFhBkWlUumkEgNUfCLL2NhYWFlZwcfHBx4eHvDx8YGtra1GxcTV1ZUrKkyvrV+/HkVFRQgJCcHPP//Mk2rWIUqlEkFBQUhOToaDgwO8vLy0VjoePnyIjz/+GIWFhfjxxx+FJ/rOzs5C1jJ3d3fk5ubC3d0dwcHBSEhIgJubm04qvyYmJhgzZgwuX76MQ4cOYfTo0dyCUEEFBQXYs2cP3nzzTTRo0EDscBirNVyRYXWWRCJBcXExUlNT8ejRI4wYMUJYduTIEWEAav369fHw4UM8fPhQGMQPgAfxM4OSnJwMAOjevTu2bNmC7du3Q6lUol69epg2bRqaNGmisR4zfGXN/7Jo0SI4OzvD3d0dcrkc169fx+eff44GDRrgt99+Q7NmzTTKUXcfi42NFeYhAZ4nOFEnmtClbt264dVXX8WOHTswbNgwWFlZ6bR8Y5OZmYnw8HBMmjRJZw/6GDMUXJFheis9PR0PHz4Ufs7Ly8OdO3cQFxcHAGjZsiWsra1fWk5Z42DUY2Dat29f7hiY3bt3Y8aMGYiKikJgYCCcnJzg6uqK9evX62hPGat56qfrV65cQXh4OJRKpTDWYdmyZWjXrh0AwNbWVswwmQ6VNf+LekzUkydPcObMGbRp0wYHDx4ss1VFLpdDLpdXuGVHFxo1aoTJkyfj+PHjsLS0RJ8+fUpdE0qq6DXBkLxsn5VKJR4+fIiJEydy6xWrm8TMNMAMT21lwSgoKCBra+ty53CxsbGhgoKCcsupyFwwpqamGpnJ1BnJfvzxR63zxrz4s0QiocjIyBr9XTCmC2XNB+Lv7y/MTyOTyWjEiBHk4eFB//nPfypUZkUzqLHa9bK/d5s2bahevXqUn58vcqQvl5SURNu3b9fJNcGQVOQ62KpVK6PaZ6Y7nLWMMRHJZDJYW1vDzMwMO3bsKDV+ZdKkSbCysnrp08CKjIO5desWmjVrVuYYmFmzZsHNzU1r+TyInxkKmUxWobEOYWFhUKlU+OKLL/Cvf/0LHTt2xA8//KDRZaWiXZaYeF6c/yU8PBy+vr4ICAhAYWEhvLy8MGXKFPTv3x/r16/X+zFRDg4OaNu2Lfz8/ODg4FCta4Ih0dV1kDFjxhUZppfUE6eNHDlS6/iV5ORkrF27VuPErq0L2aVLlyo0DiYzMxOZmZlax8C4ubnhvffeq7F9Zay2VHSsg4mJCVauXAkAiIiIEAZdL126FL17935plyWA0ziLTT3WqX79+ujZsyfq1asnpE5eu3YtcnNzNdbTd+bm5li9enWlrgmGrirXQcbqGk6/zCqlNtP5EZFwsxUZGSmMXyn5GfDyVMqmpqbo1asXYmJihHJcXFyQnp6Oe/fu4e2330ZSUhLi4+OFMTDqOWGCg4O5IsOMSlXGOhQWFmL27NlISkrCqVOnYG9vX+PpeFnV/lb79u3Dl19+ib///hvbtm1DYmIifH19hTFRL2apCwwM1PsWGbXKXBOMRV3cZ6YbdSX9Mo+RYZVS230u1eNVSo5f8fX1pYCAAOE1fvx4MjU1pXbt2lFsbCydP39eeMXGxlKrVq20luPp6cljYBirhMDAQAJA3333HU2ZMkWY5R3/HYcRGRlJACgwMFDsUA2an58fubm5kZmZmcY5yczMjNzc3MjPz09j/ZMnT9KoUaNo5MiRFBAQQPn5+S8dE2Vubm5w45rKuiaofzZG+/btq3P7zKqvroyR4YpMDUpMTKTp06fT8OHDq11WUVERrV+/nrp160aNGzemLl260Nq1a0mlUpW73bNnz2jZsmXk6OhIjRs3JmdnZ9q+fXuV46jtfwyVSkUuLi7Ur18/4X2XLl2oXr16ZQ5+LHlyV5/0TU1NqU+fPqRSqahPnz5ka2tLsbGxBIBmzZpFwcHBpV5ciWFMk7e3NwGg3NxcKiwsFCr/9erVo/T0dMrJySEA5O3tXeEyOWlAaW5ubkKFIyoqinJzcykqKkqomLi5udGFCxdozJgx5OnpSQsWLKCioqIyy4iMjKScnByKjIzUKMPQqK8DLi4uwvsePXrQvn376OzZs2KHp1MFBQV08OBBCg0NpX79+mnss/o9Y2WpKxUZHiNTA65evYpvv/0WO3bsQHFxMQYNGlSt8hQKBcaNG4fz589j+/btGDJkCGJiYjBq1CicOnUK27Ztg4mJSantsrKyMHz4cDx58gQ7d+5Ejx498Oeff2L8+PE4d+6c0Ade35RMN/nee+9h9uzZmDJlCqKjo+Hs7AwiKjWAn4jw4YcfCoP2X0yl3Lp1a9y7dw/nzp3jcTCMVUPJNM7qcRfqNM729vYAno/DefToEVq0aFFmWZw0QDulUonY2Fg4OjoiISEB4eHhcHFxQXh4OBISEtC2bVvExMRg7dq1CAkJQf369bWWU9vzv9SGF8eNzJ8/H9HR0QgLC8OIESNw9+5dHDhwAJaWlhg4cGCp66KY6Zsr892FhYU4duwYiAgeHh6QyWQwMTEptc/cpYwxcNcyXXv69Cn9+uuvFBERQR06dCAANGjQoGqV+emnnxIA2rVrl8bnW7ZsIQCluhioeXh4EAA6d+6cxudLliwhAPTbb79VOpaaruFXJN3ki92/Sra+LF26VGsTvPql/ps4OTnRjBkzhM+Dg4NrZH8YMzYVSeNsbm5OFy9epEmTJtHo0aNp1KhRWv/HKtLqYKiq08qk7r4XFRUl/F7V570PP/yQTp06Vanue8bW4qVulQCgtWXiyZMndODAAQoNDRVSE+sqpX9VVPS78/Ly6MiRI3TgwAF69uxZpfaZsZLqSosMV2RqkLoLRnUqMufOnSMA1LZt21InLoVCQc2bNyeZTEaJiYkay3bt2kUAqH///qXKzMjIIFNTU2rWrBllZWVVKp6a/sdQqVTUsWNHsre31zrWxd7enpycnOjcuXPk5OQkdDlTb9unTx8yNzfX6ELWpEkTjUoLj4NhrHoq22WpuLiYAgMDadSoUTRq1CiaOnUqpaSk6HQMh77crFd2bEtJxcXFNHz4cAJAu3fvptDQUOGcJZPJiIiq1H3P2ISHh1P37t0pPDy8zHUKCgro8OHDtH//fsrMzCQXFxdycHDQem1xcHCosQqCuhJS3ne/9tprtG/fPsrNza3WPjOmxhUZVm2LFy+udkVm6tSpBIDef/99rcvfeecdAkDz5s3T+Pz1118XBsVr4+zsTABozZo1lYqnpv8xTp48SSYmJgQ8n5DyxRO+eoLKP/74g4jKHvSpfs2dO1d4P3PmzDLHwnAlhrHKKetm3dzcvEI36ykpKdSrVy8CQCtXrqQ5c+ZUOWlAdSsOJVW3QlTZVqaUlBT65JNP6I033hBeb7/9dqkWGU6oUHXFxcV08uRJ8vPzK3cc5csGz6elpWlck0q+0tPTy9y2rO9Qf7579+6q7yBjWnBFhlWb+qRZ1YqMSqUiKysrAp5nCNJG3ZWqbdu2wmdPnjwRBsOHhIRo3e7jjz+uUteNmv7H+OKLL0q1mJTV/F9cXEyWlpYarS+mpqb06aefkqmpKXchY6yGVeem/8WkAYmJicI5q169ehQaGkpHjhypUKuDrrqn6aJCVJFud1KplMaMGUNvvvkmvfnmm/TRRx9RQkJCpcsxxIxjYlOpVNStW7dSLfkVGTxf3a5p2r6HB+6zmlRXKjI82F+PXbhwQRgcaGtrq3UdOzs7AMCdO3dw9+5dtGnTBsePH0dRUVGFtouLi0NxcbHGrN1iys7OhkqlKjWQHwCICBMmTIC5uTlkMhmOHj2KnJycUgP4TUxMUFxcDKlUivj4eMTHxwN4PkhUPRCZMVZ9MpmsynOQlEwaUFRUJCQNiI2NhaurKwDgxIkTGDduHOi/U56Zm5tjzJgxmDBhAkxMTModFO/o6Ijz589DqVS+dO4VXUzyGRQUBIVCgS1btuDw4cPw9fVFQEAACgsLMXXqVPTs2RPz5s3DkCFDMG/evDLLkclkcHZ2FuJxd3dHbm4u3N3dERwcjISEBLi5ufE8PZUkkUiwYsUKjBw5EkePHsWIESNw9OhRREdHY+nSpYiJiUHnzp3RuHHjUtvKZDJYW1vDzMwMO3bsKHVtmjRpEqysrEr9TXJycnDt2jU8efIEY8aMwddff13qu3ngPmNVxxUZPZaSkiK8LyuTSvPmzYX3N27cQJs2bSq1XX5+PtLS0tCuXTtdhFxt6kpIamqq1pmMU1NT4ejoCADw8fFBo0aN8OqrryIwMBAdOnTA0KFDsX79egDAxx9/DDc3N2F7e3t74eaIMSYuLy8vLFq0CB988EGZE2uam5sjLi5O4+YwJycHW7duxZQpU3Djxg0oFArMnDkTcXFx8PX1xdKlS0tN+hgUFFRuhetlWcLUFaKnT5/i4sWLOHPmDOLj41FQUKBRzsWLFwEA9+/fx5AhQ7Bs2TIhq9vvv/+O3NxczJs3D6mpqS/9/RhjxjF94OHhARcXF8jlcnh4eEAul8PFxQVfffUVnjx5gqtXryInJ0djG3Nzc3Ts2BF+fn7w9PTUem1KTk6Gt7c3jhw5orGtpaUlOnfujKZNm2LEiBE4dOhQqe/28PColX1nzBhxRUaPvZiqsVGjRlrXMTMzE95nZWVVebuyKjIKhUIjLWrJE3xNsbCwKJVG2c/PD7a2tkhISNBogbGzs8Pff/+NxMREJCYmAnj+5G3q1KlccWFMT1W11cHS0hKzZs3CrFmzMHv2bFy5cgWffPIJGjRogJCQECiVSkilUvTt2xf3798HAKxZswanT58uM5bExEQoFArMmjVLqBD5+/ujqKhIoyXFzc0Nb7zxBvr37w8vL69Ss2WvWrUKc+fOxSuvvFIqNXVAQIBQ+VC3RpVHLpdDLpdDqVQiKCgIycnJcHBwgJeXF7fEVENZ6ZslEgmaNm2qUWlUe/bsGRISEgAAnTt3hp+fX6lrU9euXfH++++jWbNmVfpuxlgVidqxTc+ox7RU5aVtkF91x8iox78AKJWVTC08PFxYZ+vWrUT0v/EvAKiwsFDrdr/88ouwTkRERJkxlPU7qak+l7NmzRIG5UPLQP4OHToI419MTU2FQbHqbXgAP2OGo7pJA7SlKa7KoPgXx+sQkVBGZbOE8dgWw1CdVMZlJZl5WaIAXXw3Y5VRV8bIcEXmBVlZWZSamlqlV8kZlYmqX5H57rvvXlqRCQ0NFdY5fPgwERF5eXm9tCITFBQkrHP9+vUyYygoKKDs7GzhlZ6eXisVGfWA/RcH8rdp00aIuUmTJho3PpxCmTHDVdWkAbqqOOiqQkRU+dTUTBxVTWVccoB+VQbrcxplVhvqSkWGu5a9oEmTJmjSpInYYQheHP+Sn5+vdZ3s7GzhvXoG7ZLbaetepm07bczMzDS6odWWn3/+GQBKDeQ3NTVFcXExnjx5AgCYNWsW3NzcePwLYwasqkkDdDUo/mXjdYKDg2Fubg4vL6+XxsRjWwyDu7u7MKapMnTRPayq380YK40rMnqsc+fOwvuMjAx069at1DqPHz8G8Pzkqs5EVnI7bRUZ9XaWlpbl9umtbS1bthTe9+zZE9euXUNgYCDMzc3RqFEjjfE/PA6GMaaLioMus4Tx2Bbjp04YEBgYyIP1GRMZV2T0WM+ePdGgQQPk5eWVmeXm5s2bAIAePXrAysoKADBgwABheWpqKtq3b1/mdsOGDYOJiYluA6+GESNGYMmSJQCep58Gnt9kFBQUaGQI8vPzw4gRI7gSw1gdp6uKg65bUqqTmprpN4lEgoCAACxYsAABAQE8WJ8xEXFFRo+Zm5tj1KhR2LlzJ86fP49PPvmk1DqXL18GAHh6egqf2djYoE+fPjh37hzOnz+P4cOHV2g7feDq6orIyEiNFNIlcTcyxlhJ1a04cEsKqwzuHsaYfpAQ/XeWMaZzcrkcS5YswaBBg3Dy5MkqlXH27Fn069cPdnZ2QiuK2rNnz/DKK6+goKAAiYmJQtcyAAgJCcGkSZMwcOBAnDp1SmO7tLQ0vPrqq2jatClu3bqFhg0bVjienJwcNG7cGNnZ2aVSjzLGGGOMMfHVlfs1/elTZITUXaFenIdFm6SkJLRv3x4ODg5ISkrSWNa3b19Mnz4dt27dQlhYmMYy9QRrixYt0qjEAMCECRMwbNgwnDlzBteuXdNYFhQUBCLCihUrKlWJYYwxxhhjTF9wRaaGZGVl4cSJEwCAa9eulapMvGjfvn1ITk5GSkoK9u/fX2r5qlWr4OrqihkzZuDSpUtQqVTYvXs35s+fj3fffRdyubzUNhKJBL///jvat2+P9957D6mpqSgsLMT69euxYsUKLFy4ENOnT9fZ/jLGGGOMMVabuGtZDXBycsKVK1dQ8ldbv3593Lt3D40bN9b4PCkpCSNHjgQAhIWFaR2c/+zZMyxbtgxbt27FkydP0LlzZ8yfPx9vv/12ubE8fvwYS5YswZ49e6BQKNCjRw8sXrwYgwcPrtK+1ZWmSsYYY4wxQ1VX7te4IsMqpa78YzDGGGOMGaq6cr/GXcsYY4wxxhhjBocrMowxxhhjjDGDw/PIsEpR90TMyckRORLGGGOMMaaN+j7N2EeQcEWGVUpubi6A55NuMsYYY4wx/ZWbm1sqyZQx4cH+rFJUKhXu3r2LRo0aQSKR1Pj35eTkwMbGBunp6UY9WI3pDh8zrLL4mGGVxccMq6zaPmaICLm5uWjTpg1MTIx3JAm3yLBKMTExgbW1da1/r6WlJV8sWKXwMcMqi48ZVll8zLDKqs1jxphbYtSMt4rGGGOMMcYYM1pckWGMMcYYY4wZHK7IML1mZmYGPz8/mJmZiR0KMxB8zLDK4mOGVRYfM6yy+JipGTzYnzHGGGOMMWZwuEWGMcYYY4wxZnC4IsMYY4wxxhgzOFyRYYwxxhhjjBkcrsgwxhhjjDHGDA5XZJheSUpKwkcffQQPD49ql1VcXIwNGzbAyckJTZo0QdeuXREUFATOb2E8QkJC0LdvXzRt2hTt27fH0qVLUVhYWK0yQ0NDIZFItL4OHjyoo8hZTUlISMA//vEPtG7dGlZWVpg0aRKSkpKqVWZsbCzGjBkDKysrvPLKK/j444+RkZGho4iZ2GrimFEqlbCxsdF6Hhk/fryOImdiys/Px5o1a2BjY4ObN29Wqyw+x1QdV2SYXrh69Sree+89dOrUCZs2bYJSqaxWeQqFAmPGjIGPjw9WrVqFrKwsbNy4EV9//TUmT54MlUqlo8iZGIgIH330ET788EP885//xKNHj3Do0CFs2rQJw4YNw7Nnz6pc9jfffKP18+7du2Ps2LFVLpfVvMOHD6Nnz54wNzfH33//jZs3b8LS0hK9evVCVFRUlcrctGkTXFxc0KNHD9y6dQvXrl3D/fv30bNnTyQmJup4D1htq4ljBgC2bNmC27dva1329ddfV7lcJr7c3Fx89913aNeuHf7v//6vzL9zRfE5ppqIMZE9ffqUfv31V4qIiKAOHToQABo0aFC1yvz0008JAO3atUvj8y1bthAA8vPzq1b5TFzffvstAaCVK1dqfH7q1CkCQB988EGVyj1x4gQ5OzvT9evXS70ePHigg8hZTUlMTKQGDRpQ9+7dqaioSPi8sLCQHB0dqUWLFvTw4cNKlXn69GkyNTWlMWPGaHyenZ1NTZo0IUdHRyooKNBJ/Kz21cQxQ0RUVFRE7du3p6NHj5Y6jyQmJupyF5gIdu3aRZGRkTRr1iwCQAAoNTW1SmXxOab6uCLD9Iq3t3e1KzLnzp0jANS2bVtSqVQayxQKBTVv3pxkMhlfUAzU7du3yczMjMzMzCgnJ6fU8m7duhEAOnXqVKXLdnd3p5CQEF2EyWrZmDFjCAD9/PPPpZatXLmSANCHH35Y4fJUKpVwLB09erTUcvW5asmSJdWKm4lH18eMWnBwMI0aNUoXITI9FhsbW62KDJ9jdIO7ljG90rhx42qXsWbNGgDAsGHDIJFINJbJZDIMGTIESqUS69atq/Z3sdq3YcMGKBQK9OvXD40aNSq1fMSIEQCA1atXV6rcs2fP4sKFCxg8eLAuwmS1KCUlBYcOHQIAuLu7l1o+cuRIAMDWrVvx+PHjCpV54sQJXL58GVKpFIMGDSqzzKCgIBQVFVU1dCaSmjhmgOfdXpctW4Z33nmHx2Mauerer/A5Rje4IsP0Sr169aq1PREhLCwMANC1a1et6/To0QMAsGPHjmp9FxNHaGgogJf/fQ8ePIj8/PwKl/vNN9/g8ePHaNmyJbp164bvvvsO2dnZ1Y6X1Tz1MdGgQQO0a9eu1PJOnTrBzMwMSqUSe/furVSZHTp0gEwmK7VcfZxlZGTg5MmTVQuciaYmjhkA2LdvH65evYrp06ejRYsW+OSTT3Dx4kVdhc30SHXvV/gcoxtckWFG5cKFC3j48CEAwNbWVus6dnZ2AIA7d+7g7t27tRYbq77Hjx8jLi4OwMv/voWFhbhw4UKFyr18+bJGRrIrV65g4cKFcHR0rNRNDBPH0aNHAQA2NjZal5uamsLa2hrA85a3ypRZ1nHWpk0b4UamomUy/VETxwwAfPvtt8L7zMxMbNy4Eb1794aXl1e1k9gw48LnGN3gigwzKikpKcJ79UWopObNmwvvb9y4UeMxMd1JTU0Vumvo+u/7yy+/ICAgAG+99RYaNGgAAHjw4AHGjx+PoKCgakTNapr6/76sYwL433FR0WPiZWVKJBI0a9asUmUy/VETx8yzZ88we/ZsBAYGYsaMGbC3twcAqFQqrFu3Dh4eHigoKKhm5MxY8DlGN6rXLsaYnlG3xgDQOn4CAMzMzIT3WVlZNR4T052a+vt269YN3bp1E35+9OgRFi1ahE2bNoGIMGfOHPTo0QP9+/evYuSsJqmPi7KOCeB/x0VFjon8/Hzk5eXptEymX3R9zACAhYUF3n//feFnIsJvv/2GRYsW4eHDhzh16hTmzp3L4zMZn2N0iFtkWLXI5fIyJw982au6ude1yczMFN5bWFhoXefFOWT46Vjtq84x8+DBA6Gcmvz7tmjRAhs3bsTGjRsBPJ9c9auvvqpSWazmqf/vyzomgP8dFxU5JipyHqlsmUy/6PqY0UYikWD69OmIjY0VurD98ssvSE5OrlJ5zHjwOUZ3uEWGVcvnn3+OadOmVWnb1q1b6zYYQOuAuZJenPld3WzLak91jpmYmJiXrqPLv+/06dORkpKCb775BqdPn8ajR4/QokWLapXJdE8mk700q4/6uKjIMVGR80hly2T6RdfHTHlsbW1x+PBh9OrVC0qlEvv378e8efOqVSYzbHyO0R2uyLBqadKkCZo0aSJ2GIIXx0eUlbHqxUxUfFNa+6pzzLw4Bqq2/r6LFy/G+vXr8fjxY6SmpvIxo4eaN2+OZ8+elZulTn1cVOTv16RJE5iamqK4uLjcMnNycipcJtMvuj5mXqZLly746KOPsG7dOm6RYXyO0SHuWsaMSufOnYX3GRkZWtdRzwkgkUiEDFfMMFTm7wtAa1rVyqpfv74wN41UKq12eUz31MdFWccE8L/joiLHhFQqhYODQ7ll5uXlCd09dHGcsdql62OmIt566y0AfB5hfI7RJa7IMKPSs2dPIeNUamqq1nVu3rwJ4HmOdisrq9oKjelA69athUxAL/v7tmjRAj179tTJ99rZ2UEqlQrfzfTLgAEDAJR9TOTl5eHRo0cAgOHDh+ukTPVxVpkymf6oiWPmZdQPzjp27KiT8phh43OMbnBFhhkVc3NzjBo1CgBw/vx5retcvnwZAODp6VlrcTHdGT9+PICX/309PDxgYqKbU1xWVhZGjBgBS0tLnZTHdEt9TNy9exf3798vtVx9TJiZmWHo0KGVKvPSpUsoLi4us8y2bdvCycmpSnEz8dTEMfMyWVlZkEqlGDdunE7KY4aNzzG6wRUZZnQWLFgAAAgLCyu17NmzZ4iMjIRUKsWnn35a26ExHZgzZw5kMhlOnz6NZ8+elVp+/PhxAIC3t7dOvq+4uBjHjx9HQECATspjuvfaa68JDyYOHz5cavmxY8cAAB988AEaNmxYoTI9PT3RpUsX5OXl4fTp02WW+dlnn1U1bCaimjhmXiY0NBRz5sypkUQ3zPDwOUZHiDE9snDhQgJALi4u5a6XmJhIDg4OZG9vT4mJiaWWT58+nQDQ4cOHNT5ft24dASAfHx+dxs1ql7+/PwGgdevWaXx++PBhAkBTp04ttU15x0xYWBidOXNG63ctXbqU1qxZo7vgWY24ceMG1a9fv9S549mzZ9SuXTtq0aIF3b9/v9R27733HjVs2JDWrl1batnJkydJIpHQpEmTND5/8OABNWrUiBwdHenZs2e63RFWa3R9zCQmJtLOnTspLy+v1DbXr1+nESNGUEFBgW53gonm+vXrBIAA0N9//13menyOqVlckWF6IzMzk/r27UsAyNLSkq5evVrmuitWrBBOICtXriy1PCcnh1xdXcnW1pYuXrxIxcXFtGvXLrKwsKB3332XiouLa3JXWA0rLCykcePGUePGjenEiROkUqnoP//5D7Vq1YqGDh2q9UairGPm9u3bwucTJkyg69evExHR3bt3afHixfTbb7/V1m6xatq2bRvVq1ePvvjiCyooKKB79+7R2LFjqWnTphQREVFq/YcPHwp/+65du2otc8WKFSSRSGjNmjVUVFREiYmJ5OLiQra2tnTjxo2a3iVWw3R5zLi7uxMAcnBwoL1795JCoSCFQkHbtm0jb29vevr0aW3tFqthRUVFtHz5cuFYWLZsGRUWFpZaj88xNY8rMkwvdOvWjSQSifAPr37Vr1+fnjx5Ump99dN1BwcHrS0yRER5eXn09ddfU7t27ahp06bUv39/2r17d03vCqslRUVF9P3331PHjh2pSZMm1KtXL9q4cSMVFRVpXb+8Y2bdunX02muvkYWFBVlaWpKrqystWbKE7ty5Uxu7wnTozJkzNGzYMGrWrBnZ2dnRZ599Rvfu3Stz/SlTppT5tFTtwIED5OrqSk2bNqX27dvTV199pfW8xAyTro6ZS5cukYeHBzVt2pTMzMzI0dGRpk+fTidPnqzpXWC16LvvvqN69eqVul+pV6+e1vMIn2NqloSIqBZ6sDHGGGOMMcaYzvBgf8YYY4wxxpjB4YoMY4wxxhhjzOBwRYYxxhhjjDFmcLgiwxhjjDHGGDM4XJFhjDHGGGOMGRyuyDDGGGOMMcYMDldkGGOMMcYYYwaHKzKMMcYYY4wxg8MVGcYYY4wxxpjB4YoMY4wxxhhjzOBwRYYxxhhjjDFmcLgiwxhjTDQnT56ERCKBRCKBXC4XOxzGGGMGhCsyjDHGWC15seJ28uRJscNhjDGDxhUZxhhjjDHGmMHhigxjjDHGGGPM4HBFhjHGGGOMMWZwuCLDGGNML2kbTxISEoJhw4bBysoK9evXR8eOHfHFF18gMzOzzHKmTZsGiUSCV199FQBw584dzJs3D46OjrCwsICVlRVGjx6NsLCwMsu4efOmEMvmzZvLjfvVV1+FRCLBtGnTSm0/ZMgQ4bMhQ4YIZVa0bMYYY/9TT+wAGGOMsZdRqVSYOnUqgoODNT5PSEjAihUrsHfvXvz111945ZVXyi0nNjYWo0ePxoMHD4TP8vPzERoaitDQUMybNw/ff/99jewDY4wx3eIWGcYYY3rPx8cHwcHBGDduHPbs2YPz588jNDQUo0ePBgAkJSVh7ty55Zbx7NkzTJgwAdnZ2Vi0aBFOnz6NmJgYrFmzBq1btwYA/PDDD1i9erXO42/bti0uX76MTZs2CZ9t2rQJly9f1niNGzdO59/NGGPGiltkGGOM6b3IyEgsXboUixcv1vh85MiRGDlyJI4ePYpdu3ZhzZo1sLKy0lrGw4cP8eTJExw7dgwDBw4UPu/bty/Gjx+Pfv364fbt21i8eDHefffdMsupCqlUiq5du+LRo0fCZ+3atUPXrl119h2MMVbXcIsMY4wxvde7d2989dVXpT6XSCSYN28eAKCoqAhRUVHlljNjxgyNSoxamzZthC5leXl52LJliw6iZowxVpO4IsMYY0zvvfvuu5BIfiri+gAAA4xJREFUJFqX9e7dW3ifkpJSbjkffvhhmcveeustNGnSBABw7NixygfJGGOsVnFFhjHGmN7r1KlTmcuaNWsmvM/NzS1zPZlMhu7du5e5XCqVomfPngCAy5cvVyFKxhhjtYkrMowxxvSehYVFmctMTP53KSsuLi5zvWbNmsHU1LTc72nVqhUAlJvOmTHGmH7gigxjjLE6oayuaYwxxgwTV2QYY4zVCY8fPy63xQYAMjIyAGh2VwM0W31UKlW5ZeTl5VUxQsYYY5XBFRnGGGN1glKpxKVLl8pcXlRUhIsXLwJAqbTIjRo1Et5nZWWVWUZmZiYeP35c5nJuFWKMMd3higxjjLE6o7y0ynv37hUqKe7u7hrLmjZtKmQ0i42NLbOM7du3g4jKXG5ubi68VygUFQmZMcZYGbgiwxhjrM5Yt24dzpw5U+rz+/fvY8GCBQCeJxb44IMPSq2jnn9m//79SE5OLrX8xo0b8PHxKff7W7duLbzXVgZjjLGKqyd2AIwxxlhtsLKygoWFBYYPH465c+di1KhRMDMzw9mzZ/Htt9/i7t27AICAgAC0bNmy1PZeXl44cOAA8vPzMXjwYMjlcvTs2RNPnz7F8ePHsXr1alhZWcHU1BQPHz7UGoOtrS2sra1x+/ZtrFy5EtbW1ujYsaOQTa1Vq1Ya3dgYY4yVjSsyjDHG6gQLCwvs2rULnp6eWLZsGZYtW1ZqnTlz5mDevHlatx8xYgTmzJmDNWvW4Pbt2/j44481ltva2uLAgQPw9PQsN46vvvoKXl5eSE1NxZtvvqmx7LfffsO0adMqt2OMMVZHcdcyxhhjdYazszPi4uIwZ84cODg4wNzcHM2bN8fIkSMRGhqK1atXl7v96tWr8e9//xsDBw6EpaUl6tevj44dO2LRokWIi4tD586dXxrDrFmzsHv3bnh4eKBly5aoV4+fKTLGWFVIqLxRiYwxxpiBmzZtGrZs2QI7OzvcvHlT7HAYY4zpCLfIMMYYY4wxxgwOV2QYY4wxxhhjBocrMowxxhhjjDGDwxUZxhhjjDHGmMHhigxjjDHGGGPM4HDWMsYYY4wxxpjB4RYZxhhjjDHGmMHhigxjjDHGGGPM4HBFhjHGGGOMMWZwuCLDGGOMMcYYMzhckWGMMcYYY4wZHK7IMMYYY4wxxgwOV2QYY4wxxhhjBocrMowxxhhjjDGDwxUZxhhjjDHGmMH5fzHQXpwcNh7VAAAAAElFTkSuQmCC",
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "n_qubits = 1\n",
        "dev = qml.device(\"default.qubit\", wires=n_qubits)\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def qnode(inputs):\n",
        "    qml.RX(inputs, wires=0)\n",
        "    qml.Identity(wires=0)\n",
        "    qml.RX(inputs, wires=0)\n",
        "    return (qml.expval(qml.PauliZ(0)))\n",
        "\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def qnode1(inputs):\n",
        "    qml.RX(inputs, wires=0)\n",
        "    return (qml.expval(qml.PauliZ(0)))\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def qnode2(inputs):\n",
        "    qml.RX(inputs, wires=0)\n",
        "    qml.Identity(wires=0)\n",
        "    return (qml.expval(qml.PauliZ(0)))\n",
        "\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def qnode3(inputs, inputs_relu):\n",
        "    qml.RX(inputs, wires=0)\n",
        "    qml.Identity(wires=0)\n",
        "    qml.RX(inputs_relu, wires=0)\n",
        "    return (qml.expval(qml.PauliZ(0)))\n",
        "\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def qnode4(inputs):\n",
        "    qml.RX(inputs, wires=0)\n",
        "    qml.Identity(wires=0)\n",
        "    qml.RY(inputs, wires=0)\n",
        "    return (qml.expval(qml.PauliZ(0)))\n",
        "\n",
        "\n",
        "init_input = np.linspace(-math.pi,math.pi,100)\n",
        "relu_input = np.maximum(0,init_input)\n",
        "relu_input2 = np.maximum(0,init_input)*2\n",
        "\n",
        "encode_input = np.zeros(100)\n",
        "nore_out = np.zeros(100)\n",
        "reupload_out = np.zeros(100)\n",
        "rerelu_out = np.zeros(100)\n",
        "ry_out = np.zeros(100)\n",
        "rerelu_out2 = np.zeros(100)\n",
        "for i in range(len(init_input)):\n",
        "  x1 = qnode1(init_input[i])\n",
        "  encode_input[i] = x1\n",
        "  x2 = qnode(init_input[i])\n",
        "  reupload_out[i] = x2\n",
        "  x3 = qnode2(init_input[i])\n",
        "  nore_out[i] = x3\n",
        "  x4 = qnode3(init_input[i], relu_input[i])\n",
        "  rerelu_out[i] = x4\n",
        "  x5 = qnode4(init_input[i])\n",
        "  ry_out[i] = x5\n",
        "  x6 = qnode3(init_input[i], relu_input2[i])\n",
        "  rerelu_out2[i] = x6\n",
        "\n",
        "a = encode_input.reshape(100, 1)\n",
        "b = nore_out.reshape(100, 1)\n",
        "c = reupload_out.reshape(100, 1)\n",
        "d = rerelu_out.reshape(100, 1)\n",
        "e = ry_out.reshape(100, 1)\n",
        "f = rerelu_out2.reshape(100, 1)\n",
        "\n",
        "final = np.concatenate((a,b),axis=1)\n",
        "final = np.concatenate((final,c),axis=1)\n",
        "final = np.concatenate((final,d),axis=1)\n",
        "final = np.concatenate((final,e),axis=1)\n",
        "final = np.concatenate((final,f),axis=1)\n",
        "\n",
        "\n",
        "plt.figure(figsize=(8,4)) \n",
        "plt.plot(encode_input, reupload_out, label=\"$RX$\",color=\"black\",linewidth=0.2, marker='o', markerfacecolor=\"w\")\n",
        "plt.plot(encode_input, nore_out, label=\"$w/o-reup$\",color=\"black\",linewidth=0.2, marker='s', markerfacecolor=\"w\")\n",
        "plt.plot(encode_input, rerelu_out, label=\"$RX(Relu)$\",color=\"black\",linewidth=0.2, marker='x', markerfacecolor=\"w\")\n",
        "plt.plot(encode_input, ry_out, label=\"$RY$\",color=\"black\",linewidth=0.2, marker='D', markerfacecolor=\"w\")\n",
        "plt.plot(encode_input, rerelu_out2, label=\"$RX(2*Relu)$\",color=\"black\",linewidth=0.2, marker='v', markerfacecolor=\"w\")\n",
        "plt.xlabel('Input', size = 20)\n",
        "plt.ylabel('Output', size = 20)\n",
        "\n",
        "my_x_ticks = np.arange(-1, 1.001, 0.5)\n",
        "plt.yticks(fontproperties = 'Times New Roman', size = 20)\n",
        "plt.xticks( my_x_ticks, fontproperties = 'Times New Roman', size = 20)\n",
        "plt.legend(bbox_to_anchor=(1.1, 1.35), ncol=3, prop={'size': 20}, frameon=False)\n",
        " \n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yPbAogadWiHM"
      },
      "source": [
        "# 2-qubit gate comparison"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "id": "KpWlE1uoHb6l",
        "outputId": "2e43b94e-cb46-4d5e-b652-49be1c152ed2"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "n_qubits = 2\n",
        "dev = qml.device(\"default.qubit\", wires=n_qubits)\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def qnode(inputs):\n",
        "    qml.RX(inputs, wires=0)\n",
        "    qml.RX(1, wires=1)\n",
        "    qml.CNOT(wires=[0, 1])\n",
        "    return (qml.expval(qml.PauliZ(1)))\n",
        "\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def qnode1(inputs, w):\n",
        "    qml.RX(inputs, wires=0)\n",
        "    qml.RX(1, wires=1)\n",
        "    qml.CRX(w, wires=[0, 1])\n",
        "    return (qml.expval(qml.PauliZ(1)))   \n",
        "\n",
        "\n",
        "init_input = (np.random.random(2000) * 2 - 1) * math.pi\n",
        "cnot_input = np.zeros(2000)\n",
        "w = (np.random.random(2000) * 2 - 1) * math.pi\n",
        "w1 = (np.random.random(2000) * 2 - 1) * math.pi\n",
        "crx_input = np.zeros(2000)\n",
        "for i in range(len(init_input)):\n",
        "    x1 = qnode(init_input[i])\n",
        "    cnot_input[i] = x1\n",
        "    x1 = qnode1(init_input[i], w[i])\n",
        "    crx_input[i] = x1\n",
        "\n",
        "\n",
        "a = init_input.reshape(2000, 1)\n",
        "b = cnot_input.reshape(2000, 1)\n",
        "\n",
        "final = np.concatenate((a,b),axis=1)\n",
        "\n",
        "plt.figure(figsize=(8,4))\n",
        "plt.plot(init_input, cnot_input, 'o',color='b', markersize=2, label=\"$CNOT$\")\n",
        "plt.plot(init_input, crx_input, 'o',color='r', markersize=2, label=\"$CROT$\")\n",
        "\n",
        "plt.xlabel('Input', size = 20)\n",
        "plt.ylabel('Output', size = 20)\n",
        "plt.yticks(fontproperties = 'Times New Roman', size = 20)\n",
        "plt.xticks(fontproperties = 'Times New Roman', size = 20)\n",
        "plt.legend(prop={'size': 20})\n",
        "plt.savefig('ruu_cnot_crot_cmp.pdf', bbox_inches='tight')\n",
        "plt.show()\n",
        "\n"
      ]
    }
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